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Finding the Fourth Proportional to 227.75, 339.56 and 213.98

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Solution

The fourth proportional to 227.75, 339.56 and 213.98 is: 319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.75 : 339.56 = 213.98 : x
  2. Step 2: Convert to fraction form
    227.75/339.56 = 213.98/x
  3. Step 3: Cross multiply
    227.75x = 339.56 × 213.98
  4. Step 4: Simplify right side
    227.75x = 72,659.05
  5. Step 5: Solve for x
    x = 72,659.05/227.75
  6. Step 6: Final answer
    x = 319.03

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Why These Related Problems?

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