Explanation:

- Option 1, 169 : 55: 169 is 13 squared, and 55 is 13 multiplied by 5 minus 10.

- Option 2, 289 : 70: 289 is 17 squared, and 70 is 17 multiplied by 4 plus 2.

- Option 3, 256 : 61: 256 is 16 squared, and 61 is 16 multiplied by 3 plus 13.

- Option 4, 324 : 64: 324 is 18 squared, and 64 is exactly 4 cubed.

The first three options involve taking the square of a number and then using a different arithmetic operation to reach the second number. The last option pairs a square with a cube.

- Correct Answer: Option 4, 324: 64.

.