Explanation

Let's find the square numbers between 63 and 143:

8² = 64 (since 8² = 64 > 63)

9² = 81

10² = 100

11² = 121

The next square number would be 12² = 144, which is greater than 143, so we stop at 11².

Now, let's calculate the sum:

64 + 81 + 100 + 121 = 366