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Finding the Fourth Proportional to 167.33, 249.78 and 155.76

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Solution

The fourth proportional to 167.33, 249.78 and 155.76 is: 232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.33 : 249.78 = 155.76 : x
  2. Step 2: Convert to fraction form
    167.33/249.78 = 155.76/x
  3. Step 3: Cross multiply
    167.33x = 249.78 × 155.76
  4. Step 4: Simplify right side
    167.33x = 38,905.73
  5. Step 5: Solve for x
    x = 38,905.73/167.33
  6. Step 6: Final answer
    x = 232.52

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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.