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Finding the Fourth Proportional to 512.26, 768.23 and 165.53

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Solution

The fourth proportional to 512.26, 768.23 and 165.53 is: 248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.26 : 768.23 = 165.53 : x
  2. Step 2: Convert to fraction form
    512.26/768.23 = 165.53/x
  3. Step 3: Cross multiply
    512.26x = 768.23 × 165.53
  4. Step 4: Simplify right side
    512.26x = 127,162.78
  5. Step 5: Solve for x
    x = 127,162.78/512.26
  6. Step 6: Final answer
    x = 248.24

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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.