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Finding the Fourth Proportional to 171.88, 258.31 and 160.18

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Solution

The fourth proportional to 171.88, 258.31 and 160.18 is: 240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.88 : 258.31 = 160.18 : x
  2. Step 2: Convert to fraction form
    171.88/258.31 = 160.18/x
  3. Step 3: Cross multiply
    171.88x = 258.31 × 160.18
  4. Step 4: Simplify right side
    171.88x = 41,376.20
  5. Step 5: Solve for x
    x = 41,376.20/171.88
  6. Step 6: Final answer
    x = 240.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.