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Finding the Fourth Proportional to 166.28, 249.46 and 52.28

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Solution

The fourth proportional to 166.28, 249.46 and 52.28 is: 78.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.28 : 249.46 = 52.28 : x
  2. Step 2: Convert to fraction form
    166.28/249.46 = 52.28/x
  3. Step 3: Cross multiply
    166.28x = 249.46 × 52.28
  4. Step 4: Simplify right side
    166.28x = 13,042.52
  5. Step 5: Solve for x
    x = 13,042.52/166.28
  6. Step 6: Final answer
    x = 78.44

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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.