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Finding the Fourth Proportional to 241.44, 362.13 and 119.78

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Solution

The fourth proportional to 241.44, 362.13 and 119.78 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.44 : 362.13 = 119.78 : x
  2. Step 2: Convert to fraction form
    241.44/362.13 = 119.78/x
  3. Step 3: Cross multiply
    241.44x = 362.13 × 119.78
  4. Step 4: Simplify right side
    241.44x = 43,375.93
  5. Step 5: Solve for x
    x = 43,375.93/241.44
  6. Step 6: Final answer
    x = 179.66

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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.