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Finding the Fourth Proportional to 167.96, 251.85 and 131.78

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Solution

The fourth proportional to 167.96, 251.85 and 131.78 is: 197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.96 : 251.85 = 131.78 : x
  2. Step 2: Convert to fraction form
    167.96/251.85 = 131.78/x
  3. Step 3: Cross multiply
    167.96x = 251.85 × 131.78
  4. Step 4: Simplify right side
    167.96x = 33,188.79
  5. Step 5: Solve for x
    x = 33,188.79/167.96
  6. Step 6: Final answer
    x = 197.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.