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Finding the Fourth Proportional to 166.18, 248.92 and 158.66

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Solution

The fourth proportional to 166.18, 248.92 and 158.66 is: 237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.18 : 248.92 = 158.66 : x
  2. Step 2: Convert to fraction form
    166.18/248.92 = 158.66/x
  3. Step 3: Cross multiply
    166.18x = 248.92 × 158.66
  4. Step 4: Simplify right side
    166.18x = 39,493.65
  5. Step 5: Solve for x
    x = 39,493.65/166.18
  6. Step 6: Final answer
    x = 237.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.