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Finding the Fourth Proportional to 512.47, 768.63 and 165.76

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Solution

The fourth proportional to 512.47, 768.63 and 165.76 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.47 : 768.63 = 165.76 : x
  2. Step 2: Convert to fraction form
    512.47/768.63 = 165.76/x
  3. Step 3: Cross multiply
    512.47x = 768.63 × 165.76
  4. Step 4: Simplify right side
    512.47x = 127,408.11
  5. Step 5: Solve for x
    x = 127,408.11/512.47
  6. Step 6: Final answer
    x = 248.62

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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.