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Finding the Fourth Proportional to 217.28, 326.40 and 203.60

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Solution

The fourth proportional to 217.28, 326.40 and 203.60 is: 305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.28 : 326.40 = 203.60 : x
  2. Step 2: Convert to fraction form
    217.28/326.40 = 203.60/x
  3. Step 3: Cross multiply
    217.28x = 326.40 × 203.60
  4. Step 4: Simplify right side
    217.28x = 66,455.04
  5. Step 5: Solve for x
    x = 66,455.04/217.28
  6. Step 6: Final answer
    x = 305.85

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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.