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Finding the Fourth Proportional to 230.52, 343.80 and 227.43

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Solution

The fourth proportional to 230.52, 343.80 and 227.43 is: 339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.52 : 343.80 = 227.43 : x
  2. Step 2: Convert to fraction form
    230.52/343.80 = 227.43/x
  3. Step 3: Cross multiply
    230.52x = 343.80 × 227.43
  4. Step 4: Simplify right side
    230.52x = 78,190.43
  5. Step 5: Solve for x
    x = 78,190.43/230.52
  6. Step 6: Final answer
    x = 339.19

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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.