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Finding the Fourth Proportional to 512.68, 769.09 and 165.94

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Solution

The fourth proportional to 512.68, 769.09 and 165.94 is: 248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.68 : 769.09 = 165.94 : x
  2. Step 2: Convert to fraction form
    512.68/769.09 = 165.94/x
  3. Step 3: Cross multiply
    512.68x = 769.09 × 165.94
  4. Step 4: Simplify right side
    512.68x = 127,624.30
  5. Step 5: Solve for x
    x = 127,624.30/512.68
  6. Step 6: Final answer
    x = 248.94

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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.