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Finding the Fourth Proportional to 217.44, 299.97 and 143.73

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Solution

The fourth proportional to 217.44, 299.97 and 143.73 is: 198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.44 : 299.97 = 143.73 : x
  2. Step 2: Convert to fraction form
    217.44/299.97 = 143.73/x
  3. Step 3: Cross multiply
    217.44x = 299.97 × 143.73
  4. Step 4: Simplify right side
    217.44x = 43,114.69
  5. Step 5: Solve for x
    x = 43,114.69/217.44
  6. Step 6: Final answer
    x = 198.28

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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.