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Finding the Fourth Proportional to 275.65, 380.21 and 196.97

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Solution

The fourth proportional to 275.65, 380.21 and 196.97 is: 271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.65 : 380.21 = 196.97 : x
  2. Step 2: Convert to fraction form
    275.65/380.21 = 196.97/x
  3. Step 3: Cross multiply
    275.65x = 380.21 × 196.97
  4. Step 4: Simplify right side
    275.65x = 74,887.08
  5. Step 5: Solve for x
    x = 74,887.08/275.65
  6. Step 6: Final answer
    x = 271.68

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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.