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Finding the Fourth Proportional to 243.97, 365.31 and 166.82

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Solution

The fourth proportional to 243.97, 365.31 and 166.82 is: 249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.97 : 365.31 = 166.82 : x
  2. Step 2: Convert to fraction form
    243.97/365.31 = 166.82/x
  3. Step 3: Cross multiply
    243.97x = 365.31 × 166.82
  4. Step 4: Simplify right side
    243.97x = 60,939.19
  5. Step 5: Solve for x
    x = 60,939.19/243.97
  6. Step 6: Final answer
    x = 249.78

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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.