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Finding the Fourth Proportional to 202.02, 301.22 and 198.38

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Solution

The fourth proportional to 202.02, 301.22 and 198.38 is: 295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.02 : 301.22 = 198.38 : x
  2. Step 2: Convert to fraction form
    202.02/301.22 = 198.38/x
  3. Step 3: Cross multiply
    202.02x = 301.22 × 198.38
  4. Step 4: Simplify right side
    202.02x = 59,753.53
  5. Step 5: Solve for x
    x = 59,753.53/202.02
  6. Step 6: Final answer
    x = 295.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.