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Finding the Fourth Proportional to 241.00, 361.39 and 119.12

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Solution

The fourth proportional to 241.00, 361.39 and 119.12 is: 178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.00 : 361.39 = 119.12 : x
  2. Step 2: Convert to fraction form
    241.00/361.39 = 119.12/x
  3. Step 3: Cross multiply
    241.00x = 361.39 × 119.12
  4. Step 4: Simplify right side
    241.00x = 43,048.59
  5. Step 5: Solve for x
    x = 43,048.59/241.00
  6. Step 6: Final answer
    x = 178.62

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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.