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Finding the Fourth Proportional to 227.27, 313.17 and 168.14

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Solution

The fourth proportional to 227.27, 313.17 and 168.14 is: 231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.27 : 313.17 = 168.14 : x
  2. Step 2: Convert to fraction form
    227.27/313.17 = 168.14/x
  3. Step 3: Cross multiply
    227.27x = 313.17 × 168.14
  4. Step 4: Simplify right side
    227.27x = 52,654.84
  5. Step 5: Solve for x
    x = 52,654.84/227.27
  6. Step 6: Final answer
    x = 231.69

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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.