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Finding the Fourth Proportional to 138.31, 206.79 and 119.27

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Solution

The fourth proportional to 138.31, 206.79 and 119.27 is: 178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.31 : 206.79 = 119.27 : x
  2. Step 2: Convert to fraction form
    138.31/206.79 = 119.27/x
  3. Step 3: Cross multiply
    138.31x = 206.79 × 119.27
  4. Step 4: Simplify right side
    138.31x = 24,663.91
  5. Step 5: Solve for x
    x = 24,663.91/138.31
  6. Step 6: Final answer
    x = 178.33

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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.