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Finding the Fourth Proportional to 138.33, 206.24 and 122.85

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Solution

The fourth proportional to 138.33, 206.24 and 122.85 is: 183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.33 : 206.24 = 122.85 : x
  2. Step 2: Convert to fraction form
    138.33/206.24 = 122.85/x
  3. Step 3: Cross multiply
    138.33x = 206.24 × 122.85
  4. Step 4: Simplify right side
    138.33x = 25,335.97
  5. Step 5: Solve for x
    x = 25,335.97/138.33
  6. Step 6: Final answer
    x = 183.16

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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.