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Finding the Fourth Proportional to 231.44, 345.22 and 227.84

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Solution

The fourth proportional to 231.44, 345.22 and 227.84 is: 339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.44 : 345.22 = 227.84 : x
  2. Step 2: Convert to fraction form
    231.44/345.22 = 227.84/x
  3. Step 3: Cross multiply
    231.44x = 345.22 × 227.84
  4. Step 4: Simplify right side
    231.44x = 78,654.92
  5. Step 5: Solve for x
    x = 78,654.92/231.44
  6. Step 6: Final answer
    x = 339.85

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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.