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Finding the Fourth Proportional to 296.52, 409.20 and 165.56

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Solution

The fourth proportional to 296.52, 409.20 and 165.56 is: 228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.52 : 409.20 = 165.56 : x
  2. Step 2: Convert to fraction form
    296.52/409.20 = 165.56/x
  3. Step 3: Cross multiply
    296.52x = 409.20 × 165.56
  4. Step 4: Simplify right side
    296.52x = 67,747.15
  5. Step 5: Solve for x
    x = 67,747.15/296.52
  6. Step 6: Final answer
    x = 228.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.