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Finding the Fourth Proportional to 140.68, 209.81 and 129.88

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Solution

The fourth proportional to 140.68, 209.81 and 129.88 is: 193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.68 : 209.81 = 129.88 : x
  2. Step 2: Convert to fraction form
    140.68/209.81 = 129.88/x
  3. Step 3: Cross multiply
    140.68x = 209.81 × 129.88
  4. Step 4: Simplify right side
    140.68x = 27,250.12
  5. Step 5: Solve for x
    x = 27,250.12/140.68
  6. Step 6: Final answer
    x = 193.70

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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.