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Finding the Fourth Proportional to 512.22, 768.20 and 146.91

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Solution

The fourth proportional to 512.22, 768.20 and 146.91 is: 220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.22 : 768.20 = 146.91 : x
  2. Step 2: Convert to fraction form
    512.22/768.20 = 146.91/x
  3. Step 3: Cross multiply
    512.22x = 768.20 × 146.91
  4. Step 4: Simplify right side
    512.22x = 112,856.26
  5. Step 5: Solve for x
    x = 112,856.26/512.22
  6. Step 6: Final answer
    x = 220.33

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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.