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Finding the Fourth Proportional to 367.82, 550.49 and 223.64

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Solution

The fourth proportional to 367.82, 550.49 and 223.64 is: 334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.82 : 550.49 = 223.64 : x
  2. Step 2: Convert to fraction form
    367.82/550.49 = 223.64/x
  3. Step 3: Cross multiply
    367.82x = 550.49 × 223.64
  4. Step 4: Simplify right side
    367.82x = 123,107.71
  5. Step 5: Solve for x
    x = 123,107.71/367.82
  6. Step 6: Final answer
    x = 334.70

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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.