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Finding the Fourth Proportional to 201.29, 276.95 and 196.43

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Solution

The fourth proportional to 201.29, 276.95 and 196.43 is: 270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.29 : 276.95 = 196.43 : x
  2. Step 2: Convert to fraction form
    201.29/276.95 = 196.43/x
  3. Step 3: Cross multiply
    201.29x = 276.95 × 196.43
  4. Step 4: Simplify right side
    201.29x = 54,400.39
  5. Step 5: Solve for x
    x = 54,400.39/201.29
  6. Step 6: Final answer
    x = 270.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.