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Finding the Fourth Proportional to 166.88, 230.31 and 108.78

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Solution

The fourth proportional to 166.88, 230.31 and 108.78 is: 150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.88 : 230.31 = 108.78 : x
  2. Step 2: Convert to fraction form
    166.88/230.31 = 108.78/x
  3. Step 3: Cross multiply
    166.88x = 230.31 × 108.78
  4. Step 4: Simplify right side
    166.88x = 25,053.12
  5. Step 5: Solve for x
    x = 25,053.12/166.88
  6. Step 6: Final answer
    x = 150.13

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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.