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Finding the Fourth Proportional to 217.36, 327.22 and 186.04

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Solution

The fourth proportional to 217.36, 327.22 and 186.04 is: 280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.36 : 327.22 = 186.04 : x
  2. Step 2: Convert to fraction form
    217.36/327.22 = 186.04/x
  3. Step 3: Cross multiply
    217.36x = 327.22 × 186.04
  4. Step 4: Simplify right side
    217.36x = 60,876.01
  5. Step 5: Solve for x
    x = 60,876.01/217.36
  6. Step 6: Final answer
    x = 280.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.