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Finding the Fourth Proportional to 518.87, 778.05 and 185.20

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Solution

The fourth proportional to 518.87, 778.05 and 185.20 is: 277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.87 : 778.05 = 185.20 : x
  2. Step 2: Convert to fraction form
    518.87/778.05 = 185.20/x
  3. Step 3: Cross multiply
    518.87x = 778.05 × 185.20
  4. Step 4: Simplify right side
    518.87x = 144,093.93
  5. Step 5: Solve for x
    x = 144,093.93/518.87
  6. Step 6: Final answer
    x = 277.71

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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.