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Finding the Fourth Proportional to 248.43, 343.44 and 227.68

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Solution

The fourth proportional to 248.43, 343.44 and 227.68 is: 314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.43 : 343.44 = 227.68 : x
  2. Step 2: Convert to fraction form
    248.43/343.44 = 227.68/x
  3. Step 3: Cross multiply
    248.43x = 343.44 × 227.68
  4. Step 4: Simplify right side
    248.43x = 78,193.56
  5. Step 5: Solve for x
    x = 78,193.56/248.43
  6. Step 6: Final answer
    x = 314.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.