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Finding the Fourth Proportional to 367.88, 550.62 and 194.29

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Solution

The fourth proportional to 367.88, 550.62 and 194.29 is: 290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 550.62 = 194.29 : x
  2. Step 2: Convert to fraction form
    367.88/550.62 = 194.29/x
  3. Step 3: Cross multiply
    367.88x = 550.62 × 194.29
  4. Step 4: Simplify right side
    367.88x = 106,978.58
  5. Step 5: Solve for x
    x = 106,978.58/367.88
  6. Step 6: Final answer
    x = 290.80

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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.