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Finding the Fourth Proportional to 512.46, 768.80 and 165.78

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Solution

The fourth proportional to 512.46, 768.80 and 165.78 is: 248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.46 : 768.80 = 165.78 : x
  2. Step 2: Convert to fraction form
    512.46/768.80 = 165.78/x
  3. Step 3: Cross multiply
    512.46x = 768.80 × 165.78
  4. Step 4: Simplify right side
    512.46x = 127,452.08
  5. Step 5: Solve for x
    x = 127,452.08/512.46
  6. Step 6: Final answer
    x = 248.71

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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.