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Finding the Fourth Proportional to 269.97, 372.42 and 171.78

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Solution

The fourth proportional to 269.97, 372.42 and 171.78 is: 236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.97 : 372.42 = 171.78 : x
  2. Step 2: Convert to fraction form
    269.97/372.42 = 171.78/x
  3. Step 3: Cross multiply
    269.97x = 372.42 × 171.78
  4. Step 4: Simplify right side
    269.97x = 63,974.31
  5. Step 5: Solve for x
    x = 63,974.31/269.97
  6. Step 6: Final answer
    x = 236.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.