* Numbers Ralph likes: 25

* Numbers Ralph doesn't like: 24

Let's look for patterns:

* 25 is a perfect square (5 x 5)

* 24 is not a perfect square.

Now let's apply this pattern to the other numbers:

* 400 is a perfect square (20 x 20)

* 300 is not a perfect square.

* 144 is a perfect square (12 x 12)

* 145 is not a perfect square.

Therefore, Ralph likes the numbers 400 and 144 because they are perfect squares.