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Finding the Fourth Proportional to 519.32, 778.76 and 167.84

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Solution

The fourth proportional to 519.32, 778.76 and 167.84 is: 251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 778.76 = 167.84 : x
  2. Step 2: Convert to fraction form
    519.32/778.76 = 167.84/x
  3. Step 3: Cross multiply
    519.32x = 778.76 × 167.84
  4. Step 4: Simplify right side
    519.32x = 130,702.35
  5. Step 5: Solve for x
    x = 130,702.35/519.32
  6. Step 6: Final answer
    x = 251.68

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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.