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Finding the Fourth Proportional to 240.78, 361.16 and 138

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Solution

The fourth proportional to 240.78, 361.16 and 138 is: 206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.78 : 361.16 = 138 : x
  2. Step 2: Convert to fraction form
    240.78/361.16 = 138/x
  3. Step 3: Cross multiply
    240.78x = 361.16 × 138
  4. Step 4: Simplify right side
    240.78x = 49,839.39
  5. Step 5: Solve for x
    x = 49,839.39/240.78
  6. Step 6: Final answer
    x = 206.99

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Why These Related Problems?

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