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Finding the Fourth Proportional to 166.88, 230.33 and 108.56

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Solution

The fourth proportional to 166.88, 230.33 and 108.56 is: 149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.88 : 230.33 = 108.56 : x
  2. Step 2: Convert to fraction form
    166.88/230.33 = 108.56/x
  3. Step 3: Cross multiply
    166.88x = 230.33 × 108.56
  4. Step 4: Simplify right side
    166.88x = 25,004.62
  5. Step 5: Solve for x
    x = 25,004.62/166.88
  6. Step 6: Final answer
    x = 149.84

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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.