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Finding the Fourth Proportional to 354.54, 532.01 and 138.14

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Solution

The fourth proportional to 354.54, 532.01 and 138.14 is: 207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.54 : 532.01 = 138.14 : x
  2. Step 2: Convert to fraction form
    354.54/532.01 = 138.14/x
  3. Step 3: Cross multiply
    354.54x = 532.01 × 138.14
  4. Step 4: Simplify right side
    354.54x = 73,491.86
  5. Step 5: Solve for x
    x = 73,491.86/354.54
  6. Step 6: Final answer
    x = 207.29

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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.