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Finding the Fourth Proportional to 515.14, 772.84 and 149.97

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Solution

The fourth proportional to 515.14, 772.84 and 149.97 is: 224.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.14 : 772.84 = 149.97 : x
  2. Step 2: Convert to fraction form
    515.14/772.84 = 149.97/x
  3. Step 3: Cross multiply
    515.14x = 772.84 × 149.97
  4. Step 4: Simplify right side
    515.14x = 115,902.81
  5. Step 5: Solve for x
    x = 115,902.81/515.14
  6. Step 6: Final answer
    x = 224.99

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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.