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Finding the Fourth Proportional to 167.84, 251.67 and 86.60

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Solution

The fourth proportional to 167.84, 251.67 and 86.60 is: 129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.84 : 251.67 = 86.60 : x
  2. Step 2: Convert to fraction form
    167.84/251.67 = 86.60/x
  3. Step 3: Cross multiply
    167.84x = 251.67 × 86.60
  4. Step 4: Simplify right side
    167.84x = 21,794.62
  5. Step 5: Solve for x
    x = 21,794.62/167.84
  6. Step 6: Final answer
    x = 129.85

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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.