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Finding the Fourth Proportional to 432.71, 649.40 and 158.88

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Solution

The fourth proportional to 432.71, 649.40 and 158.88 is: 238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.71 : 649.40 = 158.88 : x
  2. Step 2: Convert to fraction form
    432.71/649.40 = 158.88/x
  3. Step 3: Cross multiply
    432.71x = 649.40 × 158.88
  4. Step 4: Simplify right side
    432.71x = 103,176.67
  5. Step 5: Solve for x
    x = 103,176.67/432.71
  6. Step 6: Final answer
    x = 238.44

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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.