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Finding the Fourth Proportional to 354.92, 532.33 and 138.48

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Solution

The fourth proportional to 354.92, 532.33 and 138.48 is: 207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.92 : 532.33 = 138.48 : x
  2. Step 2: Convert to fraction form
    354.92/532.33 = 138.48/x
  3. Step 3: Cross multiply
    354.92x = 532.33 × 138.48
  4. Step 4: Simplify right side
    354.92x = 73,717.06
  5. Step 5: Solve for x
    x = 73,717.06/354.92
  6. Step 6: Final answer
    x = 207.70

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