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Finding the Fourth Proportional to 515.14, 772.57 and 144.92

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Solution

The fourth proportional to 515.14, 772.57 and 144.92 is: 217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.14 : 772.57 = 144.92 : x
  2. Step 2: Convert to fraction form
    515.14/772.57 = 144.92/x
  3. Step 3: Cross multiply
    515.14x = 772.57 × 144.92
  4. Step 4: Simplify right side
    515.14x = 111,960.12
  5. Step 5: Solve for x
    x = 111,960.12/515.14
  6. Step 6: Final answer
    x = 217.34

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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.