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Finding the Fourth Proportional to 241.28, 361.90 and 119.43

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Solution

The fourth proportional to 241.28, 361.90 and 119.43 is: 179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.28 : 361.90 = 119.43 : x
  2. Step 2: Convert to fraction form
    241.28/361.90 = 119.43/x
  3. Step 3: Cross multiply
    241.28x = 361.90 × 119.43
  4. Step 4: Simplify right side
    241.28x = 43,221.72
  5. Step 5: Solve for x
    x = 43,221.72/241.28
  6. Step 6: Final answer
    x = 179.14

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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.