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Finding the Fourth Proportional to 138.54, 209.04 and 135.78

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Solution

The fourth proportional to 138.54, 209.04 and 135.78 is: 204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.54 : 209.04 = 135.78 : x
  2. Step 2: Convert to fraction form
    138.54/209.04 = 135.78/x
  3. Step 3: Cross multiply
    138.54x = 209.04 × 135.78
  4. Step 4: Simplify right side
    138.54x = 28,383.45
  5. Step 5: Solve for x
    x = 28,383.45/138.54
  6. Step 6: Final answer
    x = 204.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.