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Finding the Fourth Proportional to 512.47, 768.69 and 165.79

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Solution

The fourth proportional to 512.47, 768.69 and 165.79 is: 248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.47 : 768.69 = 165.79 : x
  2. Step 2: Convert to fraction form
    512.47/768.69 = 165.79/x
  3. Step 3: Cross multiply
    512.47x = 768.69 × 165.79
  4. Step 4: Simplify right side
    512.47x = 127,441.12
  5. Step 5: Solve for x
    x = 127,441.12/512.47
  6. Step 6: Final answer
    x = 248.68

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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.