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Finding the Fourth Proportional to 217.23, 326.25 and 208.05

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Solution

The fourth proportional to 217.23, 326.25 and 208.05 is: 312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.23 : 326.25 = 208.05 : x
  2. Step 2: Convert to fraction form
    217.23/326.25 = 208.05/x
  3. Step 3: Cross multiply
    217.23x = 326.25 × 208.05
  4. Step 4: Simplify right side
    217.23x = 67,876.31
  5. Step 5: Solve for x
    x = 67,876.31/217.23
  6. Step 6: Final answer
    x = 312.46

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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.