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Finding the Fourth Proportional to 217.07, 323.38 and 206.75

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Solution

The fourth proportional to 217.07, 323.38 and 206.75 is: 308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.07 : 323.38 = 206.75 : x
  2. Step 2: Convert to fraction form
    217.07/323.38 = 206.75/x
  3. Step 3: Cross multiply
    217.07x = 323.38 × 206.75
  4. Step 4: Simplify right side
    217.07x = 66,858.82
  5. Step 5: Solve for x
    x = 66,858.82/217.07
  6. Step 6: Final answer
    x = 308.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.