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Finding the Fourth Proportional to 171.87, 257.53 and 160.46

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Solution

The fourth proportional to 171.87, 257.53 and 160.46 is: 240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.87 : 257.53 = 160.46 : x
  2. Step 2: Convert to fraction form
    171.87/257.53 = 160.46/x
  3. Step 3: Cross multiply
    171.87x = 257.53 × 160.46
  4. Step 4: Simplify right side
    171.87x = 41,323.26
  5. Step 5: Solve for x
    x = 41,323.26/171.87
  6. Step 6: Final answer
    x = 240.43

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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.