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Finding the Fourth Proportional to 367.88, 550.92 and 194.24

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Solution

The fourth proportional to 367.88, 550.92 and 194.24 is: 290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 550.92 = 194.24 : x
  2. Step 2: Convert to fraction form
    367.88/550.92 = 194.24/x
  3. Step 3: Cross multiply
    367.88x = 550.92 × 194.24
  4. Step 4: Simplify right side
    367.88x = 107,010.70
  5. Step 5: Solve for x
    x = 107,010.70/367.88
  6. Step 6: Final answer
    x = 290.88

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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.