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Finding the Fourth Proportional to 166.97, 230.33 and 108.77

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Solution

The fourth proportional to 166.97, 230.33 and 108.77 is: 150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.97 : 230.33 = 108.77 : x
  2. Step 2: Convert to fraction form
    166.97/230.33 = 108.77/x
  3. Step 3: Cross multiply
    166.97x = 230.33 × 108.77
  4. Step 4: Simplify right side
    166.97x = 25,052.11
  5. Step 5: Solve for x
    x = 25,052.11/166.97
  6. Step 6: Final answer
    x = 150.04

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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.