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Finding the Fourth Proportional to 217.66, 325.77 and 208.30

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Solution

The fourth proportional to 217.66, 325.77 and 208.30 is: 311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.66 : 325.77 = 208.30 : x
  2. Step 2: Convert to fraction form
    217.66/325.77 = 208.30/x
  3. Step 3: Cross multiply
    217.66x = 325.77 × 208.30
  4. Step 4: Simplify right side
    217.66x = 67,857.89
  5. Step 5: Solve for x
    x = 67,857.89/217.66
  6. Step 6: Final answer
    x = 311.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.