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Finding the Fourth Proportional to 519.42, 778.96 and 154.20

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Solution

The fourth proportional to 519.42, 778.96 and 154.20 is: 231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.42 : 778.96 = 154.20 : x
  2. Step 2: Convert to fraction form
    519.42/778.96 = 154.20/x
  3. Step 3: Cross multiply
    519.42x = 778.96 × 154.20
  4. Step 4: Simplify right side
    519.42x = 120,115.63
  5. Step 5: Solve for x
    x = 120,115.63/519.42
  6. Step 6: Final answer
    x = 231.25

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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.