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Finding the Fourth Proportional to 241.11, 361.96 and 189.92

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Solution

The fourth proportional to 241.11, 361.96 and 189.92 is: 285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.11 : 361.96 = 189.92 : x
  2. Step 2: Convert to fraction form
    241.11/361.96 = 189.92/x
  3. Step 3: Cross multiply
    241.11x = 361.96 × 189.92
  4. Step 4: Simplify right side
    241.11x = 68,743.44
  5. Step 5: Solve for x
    x = 68,743.44/241.11
  6. Step 6: Final answer
    x = 285.11

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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.