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Finding the Fourth Proportional to 204.30, 280.13 and 199.44

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Solution

The fourth proportional to 204.30, 280.13 and 199.44 is: 273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.30 : 280.13 = 199.44 : x
  2. Step 2: Convert to fraction form
    204.30/280.13 = 199.44/x
  3. Step 3: Cross multiply
    204.30x = 280.13 × 199.44
  4. Step 4: Simplify right side
    204.30x = 55,869.13
  5. Step 5: Solve for x
    x = 55,869.13/204.30
  6. Step 6: Final answer
    x = 273.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.