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Finding the Fourth Proportional to 167.14, 250.44 and 136.72

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Solution

The fourth proportional to 167.14, 250.44 and 136.72 is: 204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.14 : 250.44 = 136.72 : x
  2. Step 2: Convert to fraction form
    167.14/250.44 = 136.72/x
  3. Step 3: Cross multiply
    167.14x = 250.44 × 136.72
  4. Step 4: Simplify right side
    167.14x = 34,240.16
  5. Step 5: Solve for x
    x = 34,240.16/167.14
  6. Step 6: Final answer
    x = 204.86

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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.