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Finding the Fourth Proportional to 240.82, 361.18 and 110.78

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Solution

The fourth proportional to 240.82, 361.18 and 110.78 is: 166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.82 : 361.18 = 110.78 : x
  2. Step 2: Convert to fraction form
    240.82/361.18 = 110.78/x
  3. Step 3: Cross multiply
    240.82x = 361.18 × 110.78
  4. Step 4: Simplify right side
    240.82x = 40,011.52
  5. Step 5: Solve for x
    x = 40,011.52/240.82
  6. Step 6: Final answer
    x = 166.15

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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.