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Finding the Fourth Proportional to 166.18, 250.27 and 147.16

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Solution

The fourth proportional to 166.18, 250.27 and 147.16 is: 221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.18 : 250.27 = 147.16 : x
  2. Step 2: Convert to fraction form
    166.18/250.27 = 147.16/x
  3. Step 3: Cross multiply
    166.18x = 250.27 × 147.16
  4. Step 4: Simplify right side
    166.18x = 36,829.73
  5. Step 5: Solve for x
    x = 36,829.73/166.18
  6. Step 6: Final answer
    x = 221.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.