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Finding the Fourth Proportional to 201.07, 276.78 and 196.21

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Solution

The fourth proportional to 201.07, 276.78 and 196.21 is: 270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.07 : 276.78 = 196.21 : x
  2. Step 2: Convert to fraction form
    201.07/276.78 = 196.21/x
  3. Step 3: Cross multiply
    201.07x = 276.78 × 196.21
  4. Step 4: Simplify right side
    201.07x = 54,307.00
  5. Step 5: Solve for x
    x = 54,307.00/201.07
  6. Step 6: Final answer
    x = 270.09

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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.