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Finding the Fourth Proportional to 513.06, 769.20 and 166.29

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Solution

The fourth proportional to 513.06, 769.20 and 166.29 is: 249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.06 : 769.20 = 166.29 : x
  2. Step 2: Convert to fraction form
    513.06/769.20 = 166.29/x
  3. Step 3: Cross multiply
    513.06x = 769.20 × 166.29
  4. Step 4: Simplify right side
    513.06x = 127,910.27
  5. Step 5: Solve for x
    x = 127,910.27/513.06
  6. Step 6: Final answer
    x = 249.31

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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.