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Finding the Fourth Proportional to 354.52, 532.01 and 138.10

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Solution

The fourth proportional to 354.52, 532.01 and 138.10 is: 207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.52 : 532.01 = 138.10 : x
  2. Step 2: Convert to fraction form
    354.52/532.01 = 138.10/x
  3. Step 3: Cross multiply
    354.52x = 532.01 × 138.10
  4. Step 4: Simplify right side
    354.52x = 73,470.58
  5. Step 5: Solve for x
    x = 73,470.58/354.52
  6. Step 6: Final answer
    x = 207.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.