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Finding the Fourth Proportional to 432.95, 649.76 and 159.30

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Solution

The fourth proportional to 432.95, 649.76 and 159.30 is: 239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.95 : 649.76 = 159.30 : x
  2. Step 2: Convert to fraction form
    432.95/649.76 = 159.30/x
  3. Step 3: Cross multiply
    432.95x = 649.76 × 159.30
  4. Step 4: Simplify right side
    432.95x = 103,505.97
  5. Step 5: Solve for x
    x = 103,505.97/432.95
  6. Step 6: Final answer
    x = 239.07

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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.