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Finding the Fourth Proportional to 367.06, 506.44 and 219.73

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Solution

The fourth proportional to 367.06, 506.44 and 219.73 is: 303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.06 : 506.44 = 219.73 : x
  2. Step 2: Convert to fraction form
    367.06/506.44 = 219.73/x
  3. Step 3: Cross multiply
    367.06x = 506.44 × 219.73
  4. Step 4: Simplify right side
    367.06x = 111,280.06
  5. Step 5: Solve for x
    x = 111,280.06/367.06
  6. Step 6: Final answer
    x = 303.17

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