**Explanation:**

Proteins and fats are two important macronutrients found in animal food products. The arrangement of the animal food products in order of more fats, more proteins, and least fat can be determined by analyzing the nutritional composition of each food item.

Let's analyze the given options:

**a) Fish, egg, meat:**

- Fish: Fish is generally low in fat and contains moderate levels of protein. It is a good source of omega-3 fatty acids.
- Egg: Eggs are a good source of both fats and proteins. The yolk of an egg is high in fat, while the egg white is high in protein.
- Meat: Meat, particularly red meat, tends to have a higher fat content compared to fish and eggs. It can be a good source of protein as well.

**b) Meat, milk, egg:**

- Meat: Same as above, meat can have a higher fat content and is a good source of protein.
- Milk: Milk is relatively low in fat and is a good source of both proteins and calcium.
- Egg: Same as above, eggs contain both fats and proteins.

**c) Milk, meat, fish:**

- Milk: Same as above, milk is relatively low in fat and is a good source of proteins.
- Meat: Same as above, meat can have a higher fat content and is a good source of protein.
- Fish: Fish is generally low in fat and contains moderate levels of protein.

**d) Egg, meat, fish:**

- Egg: Same as above, eggs contain both fats and proteins.
- Meat: Same as above, meat can have a higher fat content and is a good source of protein.
- Fish: Same as above, fish is generally low in fat and contains moderate levels of protein.

From the above analysis, it can be observed that option 'd' (Egg, meat, fish) is the correct answer as it arranges the animal food products in the order of more fats, more proteins, and least fat. Eggs contain both fats and proteins, meat has a higher fat content and is a good source of protein, while fish is low in fat and contains moderate levels of protein.

**Explanation:**

In order to determine the arrangement of the animal food products based on the content of fats and proteins, we need to understand the nutritional composition of each product.

**Fish:**
Fish is generally low in fat and contains a high amount of protein. It is also a good source of omega-3 fatty acids, which are healthy fats. However, the fat content in fish is generally lower compared to other animal food products.

**Egg:**
Eggs are a good source of both fats and proteins. The yolk of an egg contains most of the fat, while the egg white is primarily protein. The fat content in eggs is moderate, but it still contains a significant amount of protein.

**Meat:**
Meat, such as beef, pork, or chicken, can vary in its fat and protein content depending on the type and cut of meat. Generally, meat contains both fats and proteins, but the fat content can vary. For example, fatty cuts of meat like ribeye steak have a higher fat content compared to lean cuts like chicken breast.

**Milk:**
Milk is known for its high protein content, especially in the form of casein, which is a slow-digesting protein. However, milk also contains varying amounts of fat, depending on the type of milk (e.g., whole milk, skim milk). Whole milk has a higher fat content compared to skim milk.

Now, let's analyze each option:

**a) Fish, egg, meat:**
Fish generally has a lower fat content compared to meat and eggs. Eggs contain a moderate amount of fat, while meat can have varying levels of fat content depending on the type and cut. Therefore, this option does not follow the order of more fats, more proteins, and least fat.

**b) Meat, milk, egg:**
Meat can have varying levels of fat content, as mentioned earlier. Milk is generally low in fat but high in protein. Eggs contain both fats and proteins. Therefore, this option does not follow the order of more fats, more proteins, and least fat.

**c) Milk, meat, fish:**
Milk is generally low in fat but high in protein, whereas fish has a lower fat content compared to meat. Therefore, this option does not follow the order of more fats, more proteins, and least fat.

**d) Egg, meat, fish:**
Eggs contain both fats and proteins, meat can have varying levels of fat content, and fish generally has a lower fat content compared to meat and eggs. Therefore, this option follows the order of more fats, more proteins, and least fat.

Hence, the correct answer is option 'D': Egg, meat, fish.