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Finding the Fourth Proportional to 432.90, 649.25 and 159.02

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Solution

The fourth proportional to 432.90, 649.25 and 159.02 is: 238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.90 : 649.25 = 159.02 : x
  2. Step 2: Convert to fraction form
    432.90/649.25 = 159.02/x
  3. Step 3: Cross multiply
    432.90x = 649.25 × 159.02
  4. Step 4: Simplify right side
    432.90x = 103,242.72
  5. Step 5: Solve for x
    x = 103,242.72/432.90
  6. Step 6: Final answer
    x = 238.49

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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.