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Finding the Fourth Proportional to 367.42, 550.95 and 213.38

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Solution

The fourth proportional to 367.42, 550.95 and 213.38 is: 319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.42 : 550.95 = 213.38 : x
  2. Step 2: Convert to fraction form
    367.42/550.95 = 213.38/x
  3. Step 3: Cross multiply
    367.42x = 550.95 × 213.38
  4. Step 4: Simplify right side
    367.42x = 117,564.52
  5. Step 5: Solve for x
    x = 117,564.52/367.42
  6. Step 6: Final answer
    x = 319.97

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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.