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Finding the Fourth Proportional to 217.32, 326.10 and 121.14

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Solution

The fourth proportional to 217.32, 326.10 and 121.14 is: 181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.32 : 326.10 = 121.14 : x
  2. Step 2: Convert to fraction form
    217.32/326.10 = 121.14/x
  3. Step 3: Cross multiply
    217.32x = 326.10 × 121.14
  4. Step 4: Simplify right side
    217.32x = 39,503.75
  5. Step 5: Solve for x
    x = 39,503.75/217.32
  6. Step 6: Final answer
    x = 181.78

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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.