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Finding the Fourth Proportional to 166.92, 249 and 147.48

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Solution

The fourth proportional to 166.92, 249 and 147.48 is: 220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.92 : 249 = 147.48 : x
  2. Step 2: Convert to fraction form
    166.92/249 = 147.48/x
  3. Step 3: Cross multiply
    166.92x = 249 × 147.48
  4. Step 4: Simplify right side
    166.92x = 36,722.52
  5. Step 5: Solve for x
    x = 36,722.52/166.92
  6. Step 6: Final answer
    x = 220.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.