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Finding the Fourth Proportional to 167.42, 249.92 and 133.13

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Solution

The fourth proportional to 167.42, 249.92 and 133.13 is: 198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.42 : 249.92 = 133.13 : x
  2. Step 2: Convert to fraction form
    167.42/249.92 = 133.13/x
  3. Step 3: Cross multiply
    167.42x = 249.92 × 133.13
  4. Step 4: Simplify right side
    167.42x = 33,271.85
  5. Step 5: Solve for x
    x = 33,271.85/167.42
  6. Step 6: Final answer
    x = 198.73

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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.