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Finding the Fourth Proportional to 241.09, 361.62 and 119.31

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Solution

The fourth proportional to 241.09, 361.62 and 119.31 is: 178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.09 : 361.62 = 119.31 : x
  2. Step 2: Convert to fraction form
    241.09/361.62 = 119.31/x
  3. Step 3: Cross multiply
    241.09x = 361.62 × 119.31
  4. Step 4: Simplify right side
    241.09x = 43,144.88
  5. Step 5: Solve for x
    x = 43,144.88/241.09
  6. Step 6: Final answer
    x = 178.96

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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.