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Finding the Fourth Proportional to 167.92, 250.17 and 162.12

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Solution

The fourth proportional to 167.92, 250.17 and 162.12 is: 241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.92 : 250.17 = 162.12 : x
  2. Step 2: Convert to fraction form
    167.92/250.17 = 162.12/x
  3. Step 3: Cross multiply
    167.92x = 250.17 × 162.12
  4. Step 4: Simplify right side
    167.92x = 40,557.56
  5. Step 5: Solve for x
    x = 40,557.56/167.92
  6. Step 6: Final answer
    x = 241.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.