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Finding the Fourth Proportional to 519.16, 778.68 and 185.57

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Solution

The fourth proportional to 519.16, 778.68 and 185.57 is: 278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.16 : 778.68 = 185.57 : x
  2. Step 2: Convert to fraction form
    519.16/778.68 = 185.57/x
  3. Step 3: Cross multiply
    519.16x = 778.68 × 185.57
  4. Step 4: Simplify right side
    519.16x = 144,503.05
  5. Step 5: Solve for x
    x = 144,503.05/519.16
  6. Step 6: Final answer
    x = 278.34

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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.