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Finding the Fourth Proportional to 367.47, 550.97 and 205.23

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Solution

The fourth proportional to 367.47, 550.97 and 205.23 is: 307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.47 : 550.97 = 205.23 : x
  2. Step 2: Convert to fraction form
    367.47/550.97 = 205.23/x
  3. Step 3: Cross multiply
    367.47x = 550.97 × 205.23
  4. Step 4: Simplify right side
    367.47x = 113,074.55
  5. Step 5: Solve for x
    x = 113,074.55/367.47
  6. Step 6: Final answer
    x = 307.71

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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.