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Finding the Fourth Proportional to 432.98, 649.42 and 159.04

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Solution

The fourth proportional to 432.98, 649.42 and 159.04 is: 238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.98 : 649.42 = 159.04 : x
  2. Step 2: Convert to fraction form
    432.98/649.42 = 159.04/x
  3. Step 3: Cross multiply
    432.98x = 649.42 × 159.04
  4. Step 4: Simplify right side
    432.98x = 103,282.34
  5. Step 5: Solve for x
    x = 103,282.34/432.98
  6. Step 6: Final answer
    x = 238.54

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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.