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Finding the Fourth Proportional to 432.05, 648.17 and 139.57

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Solution

The fourth proportional to 432.05, 648.17 and 139.57 is: 209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.05 : 648.17 = 139.57 : x
  2. Step 2: Convert to fraction form
    432.05/648.17 = 139.57/x
  3. Step 3: Cross multiply
    432.05x = 648.17 × 139.57
  4. Step 4: Simplify right side
    432.05x = 90,461.15
  5. Step 5: Solve for x
    x = 90,461.15/432.05
  6. Step 6: Final answer
    x = 209.38

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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.