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Finding the Fourth Proportional to 140.43, 209.82 and 115.86

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Solution

The fourth proportional to 140.43, 209.82 and 115.86 is: 173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.43 : 209.82 = 115.86 : x
  2. Step 2: Convert to fraction form
    140.43/209.82 = 115.86/x
  3. Step 3: Cross multiply
    140.43x = 209.82 × 115.86
  4. Step 4: Simplify right side
    140.43x = 24,309.75
  5. Step 5: Solve for x
    x = 24,309.75/140.43
  6. Step 6: Final answer
    x = 173.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.