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Finding the Fourth Proportional to 432.46, 648.38 and 139.87

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Solution

The fourth proportional to 432.46, 648.38 and 139.87 is: 209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.46 : 648.38 = 139.87 : x
  2. Step 2: Convert to fraction form
    432.46/648.38 = 139.87/x
  3. Step 3: Cross multiply
    432.46x = 648.38 × 139.87
  4. Step 4: Simplify right side
    432.46x = 90,688.91
  5. Step 5: Solve for x
    x = 90,688.91/432.46
  6. Step 6: Final answer
    x = 209.70

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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.