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Finding the Fourth Proportional to 227.67, 339.27 and 215.25

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Solution

The fourth proportional to 227.67, 339.27 and 215.25 is: 320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.67 : 339.27 = 215.25 : x
  2. Step 2: Convert to fraction form
    227.67/339.27 = 215.25/x
  3. Step 3: Cross multiply
    227.67x = 339.27 × 215.25
  4. Step 4: Simplify right side
    227.67x = 73,027.87
  5. Step 5: Solve for x
    x = 73,027.87/227.67
  6. Step 6: Final answer
    x = 320.76

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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.