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Finding the Fourth Proportional to 201.30, 276.96 and 195.66

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Solution

The fourth proportional to 201.30, 276.96 and 195.66 is: 269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.30 : 276.96 = 195.66 : x
  2. Step 2: Convert to fraction form
    201.30/276.96 = 195.66/x
  3. Step 3: Cross multiply
    201.30x = 276.96 × 195.66
  4. Step 4: Simplify right side
    201.30x = 54,189.99
  5. Step 5: Solve for x
    x = 54,189.99/201.30
  6. Step 6: Final answer
    x = 269.20

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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.