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Finding the Fourth Proportional to 512.09, 768.12 and 146.88

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Solution

The fourth proportional to 512.09, 768.12 and 146.88 is: 220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.09 : 768.12 = 146.88 : x
  2. Step 2: Convert to fraction form
    512.09/768.12 = 146.88/x
  3. Step 3: Cross multiply
    512.09x = 768.12 × 146.88
  4. Step 4: Simplify right side
    512.09x = 112,821.47
  5. Step 5: Solve for x
    x = 112,821.47/512.09
  6. Step 6: Final answer
    x = 220.32

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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.