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Finding the Fourth Proportional to 202.90, 281.32 and 196.15

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Solution

The fourth proportional to 202.90, 281.32 and 196.15 is: 271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.90 : 281.32 = 196.15 : x
  2. Step 2: Convert to fraction form
    202.90/281.32 = 196.15/x
  3. Step 3: Cross multiply
    202.90x = 281.32 × 196.15
  4. Step 4: Simplify right side
    202.90x = 55,180.92
  5. Step 5: Solve for x
    x = 55,180.92/202.90
  6. Step 6: Final answer
    x = 271.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.