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Finding the Fourth Proportional to 513.22, 769.84 and 147.96

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Solution

The fourth proportional to 513.22, 769.84 and 147.96 is: 221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.22 : 769.84 = 147.96 : x
  2. Step 2: Convert to fraction form
    513.22/769.84 = 147.96/x
  3. Step 3: Cross multiply
    513.22x = 769.84 × 147.96
  4. Step 4: Simplify right side
    513.22x = 113,905.53
  5. Step 5: Solve for x
    x = 113,905.53/513.22
  6. Step 6: Final answer
    x = 221.94

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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.