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Finding the Fourth Proportional to 241.11, 359.92 and 224.24

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Solution

The fourth proportional to 241.11, 359.92 and 224.24 is: 334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.11 : 359.92 = 224.24 : x
  2. Step 2: Convert to fraction form
    241.11/359.92 = 224.24/x
  3. Step 3: Cross multiply
    241.11x = 359.92 × 224.24
  4. Step 4: Simplify right side
    241.11x = 80,706.94
  5. Step 5: Solve for x
    x = 80,706.94/241.11
  6. Step 6: Final answer
    x = 334.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.