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Finding the Fourth Proportional to 138.20, 206.78 and 136.13

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Solution

The fourth proportional to 138.20, 206.78 and 136.13 is: 203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.20 : 206.78 = 136.13 : x
  2. Step 2: Convert to fraction form
    138.20/206.78 = 136.13/x
  3. Step 3: Cross multiply
    138.20x = 206.78 × 136.13
  4. Step 4: Simplify right side
    138.20x = 28,147.25
  5. Step 5: Solve for x
    x = 28,147.25/138.20
  6. Step 6: Final answer
    x = 203.68

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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.