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Finding the Fourth Proportional to 167.72, 251.67 and 82.22

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Solution

The fourth proportional to 167.72, 251.67 and 82.22 is: 123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.72 : 251.67 = 82.22 : x
  2. Step 2: Convert to fraction form
    167.72/251.67 = 82.22/x
  3. Step 3: Cross multiply
    167.72x = 251.67 × 82.22
  4. Step 4: Simplify right side
    167.72x = 20,692.94
  5. Step 5: Solve for x
    x = 20,692.94/167.72
  6. Step 6: Final answer
    x = 123.38

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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.