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Finding the Fourth Proportional to 234.43, 323.52 and 129.52

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Solution

The fourth proportional to 234.43, 323.52 and 129.52 is: 178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.43 : 323.52 = 129.52 : x
  2. Step 2: Convert to fraction form
    234.43/323.52 = 129.52/x
  3. Step 3: Cross multiply
    234.43x = 323.52 × 129.52
  4. Step 4: Simplify right side
    234.43x = 41,900.85
  5. Step 5: Solve for x
    x = 41,900.85/234.43
  6. Step 6: Final answer
    x = 178.74

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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.