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Finding the Fourth Proportional to 519.00, 778.66 and 153.80

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Solution

The fourth proportional to 519.00, 778.66 and 153.80 is: 230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.00 : 778.66 = 153.80 : x
  2. Step 2: Convert to fraction form
    519.00/778.66 = 153.80/x
  3. Step 3: Cross multiply
    519.00x = 778.66 × 153.80
  4. Step 4: Simplify right side
    519.00x = 119,757.43
  5. Step 5: Solve for x
    x = 119,757.43/519.00
  6. Step 6: Final answer
    x = 230.75

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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.