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Finding the Fourth Proportional to 513.19, 769.77 and 147.98

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Solution

The fourth proportional to 513.19, 769.77 and 147.98 is: 221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.19 : 769.77 = 147.98 : x
  2. Step 2: Convert to fraction form
    513.19/769.77 = 147.98/x
  3. Step 3: Cross multiply
    513.19x = 769.77 × 147.98
  4. Step 4: Simplify right side
    513.19x = 113,910.56
  5. Step 5: Solve for x
    x = 113,910.56/513.19
  6. Step 6: Final answer
    x = 221.97

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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.