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Finding the Fourth Proportional to 217.26, 301.37 and 211.86

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Solution

The fourth proportional to 217.26, 301.37 and 211.86 is: 293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.26 : 301.37 = 211.86 : x
  2. Step 2: Convert to fraction form
    217.26/301.37 = 211.86/x
  3. Step 3: Cross multiply
    217.26x = 301.37 × 211.86
  4. Step 4: Simplify right side
    217.26x = 63,847.19
  5. Step 5: Solve for x
    x = 63,847.19/217.26
  6. Step 6: Final answer
    x = 293.87

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.