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Finding the Fourth Proportional to 512.20, 768.41 and 165.55

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Solution

The fourth proportional to 512.20, 768.41 and 165.55 is: 248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.20 : 768.41 = 165.55 : x
  2. Step 2: Convert to fraction form
    512.20/768.41 = 165.55/x
  3. Step 3: Cross multiply
    512.20x = 768.41 × 165.55
  4. Step 4: Simplify right side
    512.20x = 127,210.28
  5. Step 5: Solve for x
    x = 127,210.28/512.20
  6. Step 6: Final answer
    x = 248.36

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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.