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Finding the Fourth Proportional to 166.97, 230.48 and 114.78

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Solution

The fourth proportional to 166.97, 230.48 and 114.78 is: 158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.97 : 230.48 = 114.78 : x
  2. Step 2: Convert to fraction form
    166.97/230.48 = 114.78/x
  3. Step 3: Cross multiply
    166.97x = 230.48 × 114.78
  4. Step 4: Simplify right side
    166.97x = 26,453.92
  5. Step 5: Solve for x
    x = 26,453.92/166.97
  6. Step 6: Final answer
    x = 158.44

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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.