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Finding the Fourth Proportional to 432.90, 649.68 and 169.40

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Solution

The fourth proportional to 432.90, 649.68 and 169.40 is: 254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.90 : 649.68 = 169.40 : x
  2. Step 2: Convert to fraction form
    432.90/649.68 = 169.40/x
  3. Step 3: Cross multiply
    432.90x = 649.68 × 169.40
  4. Step 4: Simplify right side
    432.90x = 110,052.54
  5. Step 5: Solve for x
    x = 110,052.54/432.90
  6. Step 6: Final answer
    x = 254.22

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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.