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Finding the Fourth Proportional to 171.88, 256.58 and 166.17

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Solution

The fourth proportional to 171.88, 256.58 and 166.17 is: 248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.88 : 256.58 = 166.17 : x
  2. Step 2: Convert to fraction form
    171.88/256.58 = 166.17/x
  3. Step 3: Cross multiply
    171.88x = 256.58 × 166.17
  4. Step 4: Simplify right side
    171.88x = 42,635.90
  5. Step 5: Solve for x
    x = 42,635.90/171.88
  6. Step 6: Final answer
    x = 248.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.