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Finding the Fourth Proportional to 167.38, 250.74 and 83.74

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Solution

The fourth proportional to 167.38, 250.74 and 83.74 is: 125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.38 : 250.74 = 83.74 : x
  2. Step 2: Convert to fraction form
    167.38/250.74 = 83.74/x
  3. Step 3: Cross multiply
    167.38x = 250.74 × 83.74
  4. Step 4: Simplify right side
    167.38x = 20,997.39
  5. Step 5: Solve for x
    x = 20,997.39/167.38
  6. Step 6: Final answer
    x = 125.45

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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.