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Finding the Fourth Proportional to 140.68, 209.87 and 136.76

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Solution

The fourth proportional to 140.68, 209.87 and 136.76 is: 204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.68 : 209.87 = 136.76 : x
  2. Step 2: Convert to fraction form
    140.68/209.87 = 136.76/x
  3. Step 3: Cross multiply
    140.68x = 209.87 × 136.76
  4. Step 4: Simplify right side
    140.68x = 28,701.82
  5. Step 5: Solve for x
    x = 28,701.82/140.68
  6. Step 6: Final answer
    x = 204.02

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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.