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Finding the Fourth Proportional to 171.82, 237.30 and 116.46

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Solution

The fourth proportional to 171.82, 237.30 and 116.46 is: 160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.82 : 237.30 = 116.46 : x
  2. Step 2: Convert to fraction form
    171.82/237.30 = 116.46/x
  3. Step 3: Cross multiply
    171.82x = 237.30 × 116.46
  4. Step 4: Simplify right side
    171.82x = 27,635.96
  5. Step 5: Solve for x
    x = 27,635.96/171.82
  6. Step 6: Final answer
    x = 160.85

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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.