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Finding the Fourth Proportional to 432.09, 647.97 and 158.11

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Solution

The fourth proportional to 432.09, 647.97 and 158.11 is: 237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.09 : 647.97 = 158.11 : x
  2. Step 2: Convert to fraction form
    432.09/647.97 = 158.11/x
  3. Step 3: Cross multiply
    432.09x = 647.97 × 158.11
  4. Step 4: Simplify right side
    432.09x = 102,450.54
  5. Step 5: Solve for x
    x = 102,450.54/432.09
  6. Step 6: Final answer
    x = 237.10

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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.