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Finding the Fourth Proportional to 167.20, 230.56 and 114.82

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Solution

The fourth proportional to 167.20, 230.56 and 114.82 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.20 : 230.56 = 114.82 : x
  2. Step 2: Convert to fraction form
    167.20/230.56 = 114.82/x
  3. Step 3: Cross multiply
    167.20x = 230.56 × 114.82
  4. Step 4: Simplify right side
    167.20x = 26,472.68
  5. Step 5: Solve for x
    x = 26,472.68/167.20
  6. Step 6: Final answer
    x = 158.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.