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Finding the Fourth Proportional to 166.89, 230.25 and 111.66

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Solution

The fourth proportional to 166.89, 230.25 and 111.66 is: 154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.89 : 230.25 = 111.66 : x
  2. Step 2: Convert to fraction form
    166.89/230.25 = 111.66/x
  3. Step 3: Cross multiply
    166.89x = 230.25 × 111.66
  4. Step 4: Simplify right side
    166.89x = 25,709.72
  5. Step 5: Solve for x
    x = 25,709.72/166.89
  6. Step 6: Final answer
    x = 154.05

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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.