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Finding the Fourth Proportional to 240.78, 361.22 and 138.12

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Solution

The fourth proportional to 240.78, 361.22 and 138.12 is: 207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.78 : 361.22 = 138.12 : x
  2. Step 2: Convert to fraction form
    240.78/361.22 = 138.12/x
  3. Step 3: Cross multiply
    240.78x = 361.22 × 138.12
  4. Step 4: Simplify right side
    240.78x = 49,891.71
  5. Step 5: Solve for x
    x = 49,891.71/240.78
  6. Step 6: Final answer
    x = 207.21

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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.