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Finding the Fourth Proportional to 613.39, 919.98 and 180.43

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Solution

The fourth proportional to 613.39, 919.98 and 180.43 is: 270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.39 : 919.98 = 180.43 : x
  2. Step 2: Convert to fraction form
    613.39/919.98 = 180.43/x
  3. Step 3: Cross multiply
    613.39x = 919.98 × 180.43
  4. Step 4: Simplify right side
    613.39x = 165,991.99
  5. Step 5: Solve for x
    x = 165,991.99/613.39
  6. Step 6: Final answer
    x = 270.61

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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.