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Finding the Fourth Proportional to 432.72, 649.01 and 140.21

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Solution

The fourth proportional to 432.72, 649.01 and 140.21 is: 210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.72 : 649.01 = 140.21 : x
  2. Step 2: Convert to fraction form
    432.72/649.01 = 140.21/x
  3. Step 3: Cross multiply
    432.72x = 649.01 × 140.21
  4. Step 4: Simplify right side
    432.72x = 90,997.23
  5. Step 5: Solve for x
    x = 90,997.23/432.72
  6. Step 6: Final answer
    x = 210.29

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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.