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Finding the Fourth Proportional to 243.55, 335.68 and 196.75

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Solution

The fourth proportional to 243.55, 335.68 and 196.75 is: 271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.55 : 335.68 = 196.75 : x
  2. Step 2: Convert to fraction form
    243.55/335.68 = 196.75/x
  3. Step 3: Cross multiply
    243.55x = 335.68 × 196.75
  4. Step 4: Simplify right side
    243.55x = 66,045.04
  5. Step 5: Solve for x
    x = 66,045.04/243.55
  6. Step 6: Final answer
    x = 271.18

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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.