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Finding the Fourth Proportional to 240.87, 361.37 and 76.34

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Solution

The fourth proportional to 240.87, 361.37 and 76.34 is: 114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.87 : 361.37 = 76.34 : x
  2. Step 2: Convert to fraction form
    240.87/361.37 = 76.34/x
  3. Step 3: Cross multiply
    240.87x = 361.37 × 76.34
  4. Step 4: Simplify right side
    240.87x = 27,584.80
  5. Step 5: Solve for x
    x = 27,584.80/240.87
  6. Step 6: Final answer
    x = 114.52

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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.