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Finding the Fourth Proportional to 232.14, 345.51 and 227.34

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Solution

The fourth proportional to 232.14, 345.51 and 227.34 is: 338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.14 : 345.51 = 227.34 : x
  2. Step 2: Convert to fraction form
    232.14/345.51 = 227.34/x
  3. Step 3: Cross multiply
    232.14x = 345.51 × 227.34
  4. Step 4: Simplify right side
    232.14x = 78,548.24
  5. Step 5: Solve for x
    x = 78,548.24/232.14
  6. Step 6: Final answer
    x = 338.37

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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.