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Finding the Fourth Proportional to 367.36, 506.96 and 219.97

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Solution

The fourth proportional to 367.36, 506.96 and 219.97 is: 303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.36 : 506.96 = 219.97 : x
  2. Step 2: Convert to fraction form
    367.36/506.96 = 219.97/x
  3. Step 3: Cross multiply
    367.36x = 506.96 × 219.97
  4. Step 4: Simplify right side
    367.36x = 111,515.99
  5. Step 5: Solve for x
    x = 111,515.99/367.36
  6. Step 6: Final answer
    x = 303.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.