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Finding the Fourth Proportional to 166.96, 230.46 and 111.80

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Solution

The fourth proportional to 166.96, 230.46 and 111.80 is: 154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.96 : 230.46 = 111.80 : x
  2. Step 2: Convert to fraction form
    166.96/230.46 = 111.80/x
  3. Step 3: Cross multiply
    166.96x = 230.46 × 111.80
  4. Step 4: Simplify right side
    166.96x = 25,765.43
  5. Step 5: Solve for x
    x = 25,765.43/166.96
  6. Step 6: Final answer
    x = 154.32

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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.