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Finding the Fourth Proportional to 202.30, 278.97 and 197.83

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Solution

The fourth proportional to 202.30, 278.97 and 197.83 is: 272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.30 : 278.97 = 197.83 : x
  2. Step 2: Convert to fraction form
    202.30/278.97 = 197.83/x
  3. Step 3: Cross multiply
    202.30x = 278.97 × 197.83
  4. Step 4: Simplify right side
    202.30x = 55,188.64
  5. Step 5: Solve for x
    x = 55,188.64/202.30
  6. Step 6: Final answer
    x = 272.81

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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.