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Finding the Fourth Proportional to 203.96, 280.62 and 198.21

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Solution

The fourth proportional to 203.96, 280.62 and 198.21 is: 272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.96 : 280.62 = 198.21 : x
  2. Step 2: Convert to fraction form
    203.96/280.62 = 198.21/x
  3. Step 3: Cross multiply
    203.96x = 280.62 × 198.21
  4. Step 4: Simplify right side
    203.96x = 55,622.74
  5. Step 5: Solve for x
    x = 55,622.74/203.96
  6. Step 6: Final answer
    x = 272.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.