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Finding the Fourth Proportional to 167.25, 249.82 and 150.97

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Solution

The fourth proportional to 167.25, 249.82 and 150.97 is: 225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.25 : 249.82 = 150.97 : x
  2. Step 2: Convert to fraction form
    167.25/249.82 = 150.97/x
  3. Step 3: Cross multiply
    167.25x = 249.82 × 150.97
  4. Step 4: Simplify right side
    167.25x = 37,713.32
  5. Step 5: Solve for x
    x = 37,713.32/167.25
  6. Step 6: Final answer
    x = 225.49

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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.