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Finding the Fourth Proportional to 198.36, 270.18 and 197.82

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Solution

The fourth proportional to 198.36, 270.18 and 197.82 is: 269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.36 : 270.18 = 197.82 : x
  2. Step 2: Convert to fraction form
    198.36/270.18 = 197.82/x
  3. Step 3: Cross multiply
    198.36x = 270.18 × 197.82
  4. Step 4: Simplify right side
    198.36x = 53,447.01
  5. Step 5: Solve for x
    x = 53,447.01/198.36
  6. Step 6: Final answer
    x = 269.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.