Solve a square-root proportion: If √(x/169) = 18/13, find the value of x.

Introduction / Context:
This is a straightforward equation involving square roots and rational numbers.

Given Data / Assumptions:
√(x/169) = 18/13.

Concept / Approach:
Square both sides to eliminate the root, then solve for x.

Step-by-Step Solution:
(x/169) = (18/13)^2 = 324/169.Multiply both sides by 169: x = 324.

Verification / Alternative check:
Substitute back: √(324/169) = 18/13, true.

Why Other Options Are Wrong:
Other values do not satisfy the equality when substituted.

Common Pitfalls:
Forgetting to square both numerator and denominator when squaring a fraction.

Final Answer:
324