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Finding the Fourth Proportional to 512.48, 768.42 and 165.66

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Solution

The fourth proportional to 512.48, 768.42 and 165.66 is: 248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.48 : 768.42 = 165.66 : x
  2. Step 2: Convert to fraction form
    512.48/768.42 = 165.66/x
  3. Step 3: Cross multiply
    512.48x = 768.42 × 165.66
  4. Step 4: Simplify right side
    512.48x = 127,296.46
  5. Step 5: Solve for x
    x = 127,296.46/512.48
  6. Step 6: Final answer
    x = 248.39

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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.