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Finding the Fourth Proportional to 171.18, 256.85 and 122.57

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Solution

The fourth proportional to 171.18, 256.85 and 122.57 is: 183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.18 : 256.85 = 122.57 : x
  2. Step 2: Convert to fraction form
    171.18/256.85 = 122.57/x
  3. Step 3: Cross multiply
    171.18x = 256.85 × 122.57
  4. Step 4: Simplify right side
    171.18x = 31,481.08
  5. Step 5: Solve for x
    x = 31,481.08/171.18
  6. Step 6: Final answer
    x = 183.91

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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.