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Finding the Fourth Proportional to 140.18, 209.13 and 138.66

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Solution

The fourth proportional to 140.18, 209.13 and 138.66 is: 206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.18 : 209.13 = 138.66 : x
  2. Step 2: Convert to fraction form
    140.18/209.13 = 138.66/x
  3. Step 3: Cross multiply
    140.18x = 209.13 × 138.66
  4. Step 4: Simplify right side
    140.18x = 28,998.62
  5. Step 5: Solve for x
    x = 28,998.62/140.18
  6. Step 6: Final answer
    x = 206.87

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