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Finding the Fourth Proportional to 235.57, 353.21 and 81.43

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Solution

The fourth proportional to 235.57, 353.21 and 81.43 is: 122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.57 : 353.21 = 81.43 : x
  2. Step 2: Convert to fraction form
    235.57/353.21 = 81.43/x
  3. Step 3: Cross multiply
    235.57x = 353.21 × 81.43
  4. Step 4: Simplify right side
    235.57x = 28,760.12
  5. Step 5: Solve for x
    x = 28,760.12/235.57
  6. Step 6: Final answer
    x = 122.09

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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.