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Finding the Fourth Proportional to 515.23, 772.69 and 149.92

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Solution

The fourth proportional to 515.23, 772.69 and 149.92 is: 224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.23 : 772.69 = 149.92 : x
  2. Step 2: Convert to fraction form
    515.23/772.69 = 149.92/x
  3. Step 3: Cross multiply
    515.23x = 772.69 × 149.92
  4. Step 4: Simplify right side
    515.23x = 115,841.68
  5. Step 5: Solve for x
    x = 115,841.68/515.23
  6. Step 6: Final answer
    x = 224.83

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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.