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Finding the Fourth Proportional to 243.41, 335.80 and 196.53

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Solution

The fourth proportional to 243.41, 335.80 and 196.53 is: 271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.41 : 335.80 = 196.53 : x
  2. Step 2: Convert to fraction form
    243.41/335.80 = 196.53/x
  3. Step 3: Cross multiply
    243.41x = 335.80 × 196.53
  4. Step 4: Simplify right side
    243.41x = 65,992.65
  5. Step 5: Solve for x
    x = 65,992.65/243.41
  6. Step 6: Final answer
    x = 271.12

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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.