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Finding the Fourth Proportional to 240.20, 360.25 and 141.31

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Solution

The fourth proportional to 240.20, 360.25 and 141.31 is: 211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.20 : 360.25 = 141.31 : x
  2. Step 2: Convert to fraction form
    240.20/360.25 = 141.31/x
  3. Step 3: Cross multiply
    240.20x = 360.25 × 141.31
  4. Step 4: Simplify right side
    240.20x = 50,906.93
  5. Step 5: Solve for x
    x = 50,906.93/240.20
  6. Step 6: Final answer
    x = 211.94

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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.