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Finding the Fourth Proportional to 240.56, 331.68 and 166.92

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Solution

The fourth proportional to 240.56, 331.68 and 166.92 is: 230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.56 : 331.68 = 166.92 : x
  2. Step 2: Convert to fraction form
    240.56/331.68 = 166.92/x
  3. Step 3: Cross multiply
    240.56x = 331.68 × 166.92
  4. Step 4: Simplify right side
    240.56x = 55,364.03
  5. Step 5: Solve for x
    x = 55,364.03/240.56
  6. Step 6: Final answer
    x = 230.15

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