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Finding the Fourth Proportional to 240.72, 360.87 and 204.39

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Solution

The fourth proportional to 240.72, 360.87 and 204.39 is: 306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.72 : 360.87 = 204.39 : x
  2. Step 2: Convert to fraction form
    240.72/360.87 = 204.39/x
  3. Step 3: Cross multiply
    240.72x = 360.87 × 204.39
  4. Step 4: Simplify right side
    240.72x = 73,757.20
  5. Step 5: Solve for x
    x = 73,757.20/240.72
  6. Step 6: Final answer
    x = 306.41

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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.