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Finding the Fourth Proportional to 167.25, 230.82 and 115.59

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Solution

The fourth proportional to 167.25, 230.82 and 115.59 is: 159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.25 : 230.82 = 115.59 : x
  2. Step 2: Convert to fraction form
    167.25/230.82 = 115.59/x
  3. Step 3: Cross multiply
    167.25x = 230.82 × 115.59
  4. Step 4: Simplify right side
    167.25x = 26,680.48
  5. Step 5: Solve for x
    x = 26,680.48/167.25
  6. Step 6: Final answer
    x = 159.52

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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.