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Finding the Fourth Proportional to 171.11, 256.71 and 167.24

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Solution

The fourth proportional to 171.11, 256.71 and 167.24 is: 250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.11 : 256.71 = 167.24 : x
  2. Step 2: Convert to fraction form
    171.11/256.71 = 167.24/x
  3. Step 3: Cross multiply
    171.11x = 256.71 × 167.24
  4. Step 4: Simplify right side
    171.11x = 42,932.18
  5. Step 5: Solve for x
    x = 42,932.18/171.11
  6. Step 6: Final answer
    x = 250.90

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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.