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Finding the Fourth Proportional to 243.44, 365.20 and 195.92

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Solution

The fourth proportional to 243.44, 365.20 and 195.92 is: 293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.44 : 365.20 = 195.92 : x
  2. Step 2: Convert to fraction form
    243.44/365.20 = 195.92/x
  3. Step 3: Cross multiply
    243.44x = 365.20 × 195.92
  4. Step 4: Simplify right side
    243.44x = 71,549.98
  5. Step 5: Solve for x
    x = 71,549.98/243.44
  6. Step 6: Final answer
    x = 293.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.