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Finding the Fourth Proportional to 514.57, 771.97 and 149.39

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Solution

The fourth proportional to 514.57, 771.97 and 149.39 is: 224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.57 : 771.97 = 149.39 : x
  2. Step 2: Convert to fraction form
    514.57/771.97 = 149.39/x
  3. Step 3: Cross multiply
    514.57x = 771.97 × 149.39
  4. Step 4: Simplify right side
    514.57x = 115,324.60
  5. Step 5: Solve for x
    x = 115,324.60/514.57
  6. Step 6: Final answer
    x = 224.12

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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.