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Finding the Fourth Proportional to 512.98, 769.56 and 147.81

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Solution

The fourth proportional to 512.98, 769.56 and 147.81 is: 221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.98 : 769.56 = 147.81 : x
  2. Step 2: Convert to fraction form
    512.98/769.56 = 147.81/x
  3. Step 3: Cross multiply
    512.98x = 769.56 × 147.81
  4. Step 4: Simplify right side
    512.98x = 113,748.66
  5. Step 5: Solve for x
    x = 113,748.66/512.98
  6. Step 6: Final answer
    x = 221.74

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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.