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Finding the Fourth Proportional to 519.49, 778.75 and 177.25

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Solution

The fourth proportional to 519.49, 778.75 and 177.25 is: 265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.49 : 778.75 = 177.25 : x
  2. Step 2: Convert to fraction form
    519.49/778.75 = 177.25/x
  3. Step 3: Cross multiply
    519.49x = 778.75 × 177.25
  4. Step 4: Simplify right side
    519.49x = 138,033.44
  5. Step 5: Solve for x
    x = 138,033.44/519.49
  6. Step 6: Final answer
    x = 265.71

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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.