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Finding the Fourth Proportional to 240.78, 361.14 and 78.48

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Solution

The fourth proportional to 240.78, 361.14 and 78.48 is: 117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.78 : 361.14 = 78.48 : x
  2. Step 2: Convert to fraction form
    240.78/361.14 = 78.48/x
  3. Step 3: Cross multiply
    240.78x = 361.14 × 78.48
  4. Step 4: Simplify right side
    240.78x = 28,342.27
  5. Step 5: Solve for x
    x = 28,342.27/240.78
  6. Step 6: Final answer
    x = 117.71

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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.