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Finding the Fourth Proportional to 268.74, 402.92 and 138.68

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Solution

The fourth proportional to 268.74, 402.92 and 138.68 is: 207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.74 : 402.92 = 138.68 : x
  2. Step 2: Convert to fraction form
    268.74/402.92 = 138.68/x
  3. Step 3: Cross multiply
    268.74x = 402.92 × 138.68
  4. Step 4: Simplify right side
    268.74x = 55,876.25
  5. Step 5: Solve for x
    x = 55,876.25/268.74
  6. Step 6: Final answer
    x = 207.92

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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.