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Finding the Fourth Proportional to 138.76, 207.41 and 135.88

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Solution

The fourth proportional to 138.76, 207.41 and 135.88 is: 203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.76 : 207.41 = 135.88 : x
  2. Step 2: Convert to fraction form
    138.76/207.41 = 135.88/x
  3. Step 3: Cross multiply
    138.76x = 207.41 × 135.88
  4. Step 4: Simplify right side
    138.76x = 28,182.87
  5. Step 5: Solve for x
    x = 28,182.87/138.76
  6. Step 6: Final answer
    x = 203.11

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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.