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Finding the Fourth Proportional to 217.82, 299.88 and 195.94

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Solution

The fourth proportional to 217.82, 299.88 and 195.94 is: 269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.82 : 299.88 = 195.94 : x
  2. Step 2: Convert to fraction form
    217.82/299.88 = 195.94/x
  3. Step 3: Cross multiply
    217.82x = 299.88 × 195.94
  4. Step 4: Simplify right side
    217.82x = 58,758.49
  5. Step 5: Solve for x
    x = 58,758.49/217.82
  6. Step 6: Final answer
    x = 269.76

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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.