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Finding the Fourth Proportional to 512.65, 768.96 and 142.46

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Solution

The fourth proportional to 512.65, 768.96 and 142.46 is: 213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.65 : 768.96 = 142.46 : x
  2. Step 2: Convert to fraction form
    512.65/768.96 = 142.46/x
  3. Step 3: Cross multiply
    512.65x = 768.96 × 142.46
  4. Step 4: Simplify right side
    512.65x = 109,546.04
  5. Step 5: Solve for x
    x = 109,546.04/512.65
  6. Step 6: Final answer
    x = 213.69

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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.