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Finding the Fourth Proportional to 514.82, 772.31 and 149.57

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Solution

The fourth proportional to 514.82, 772.31 and 149.57 is: 224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.82 : 772.31 = 149.57 : x
  2. Step 2: Convert to fraction form
    514.82/772.31 = 149.57/x
  3. Step 3: Cross multiply
    514.82x = 772.31 × 149.57
  4. Step 4: Simplify right side
    514.82x = 115,510.92
  5. Step 5: Solve for x
    x = 115,510.92/514.82
  6. Step 6: Final answer
    x = 224.37

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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.