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Finding the Fourth Proportional to 217, 326.10 and 203.17

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Solution

The fourth proportional to 217, 326.10 and 203.17 is: 305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217 : 326.10 = 203.17 : x
  2. Step 2: Convert to fraction form
    217/326.10 = 203.17/x
  3. Step 3: Cross multiply
    217x = 326.10 × 203.17
  4. Step 4: Simplify right side
    217x = 66,253.74
  5. Step 5: Solve for x
    x = 66,253.74/217
  6. Step 6: Final answer
    x = 305.32

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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.