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Finding the Fourth Proportional to 217.57, 298.94 and 208.03

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Solution

The fourth proportional to 217.57, 298.94 and 208.03 is: 285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.57 : 298.94 = 208.03 : x
  2. Step 2: Convert to fraction form
    217.57/298.94 = 208.03/x
  3. Step 3: Cross multiply
    217.57x = 298.94 × 208.03
  4. Step 4: Simplify right side
    217.57x = 62,188.49
  5. Step 5: Solve for x
    x = 62,188.49/217.57
  6. Step 6: Final answer
    x = 285.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.