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Finding the Fourth Proportional to 202.47, 278.81 and 197.92

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Solution

The fourth proportional to 202.47, 278.81 and 197.92 is: 272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.47 : 278.81 = 197.92 : x
  2. Step 2: Convert to fraction form
    202.47/278.81 = 197.92/x
  3. Step 3: Cross multiply
    202.47x = 278.81 × 197.92
  4. Step 4: Simplify right side
    202.47x = 55,182.08
  5. Step 5: Solve for x
    x = 55,182.08/202.47
  6. Step 6: Final answer
    x = 272.54

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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.