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Finding the Fourth Proportional to 240.27, 331.40 and 166.61

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Solution

The fourth proportional to 240.27, 331.40 and 166.61 is: 229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.27 : 331.40 = 166.61 : x
  2. Step 2: Convert to fraction form
    240.27/331.40 = 166.61/x
  3. Step 3: Cross multiply
    240.27x = 331.40 × 166.61
  4. Step 4: Simplify right side
    240.27x = 55,212.06
  5. Step 5: Solve for x
    x = 55,212.06/240.27
  6. Step 6: Final answer
    x = 229.79

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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.