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Finding the Fourth Proportional to 227.28, 313.44 and 168.96

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Solution

The fourth proportional to 227.28, 313.44 and 168.96 is: 233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.28 : 313.44 = 168.96 : x
  2. Step 2: Convert to fraction form
    227.28/313.44 = 168.96/x
  3. Step 3: Cross multiply
    227.28x = 313.44 × 168.96
  4. Step 4: Simplify right side
    227.28x = 52,958.82
  5. Step 5: Solve for x
    x = 52,958.82/227.28
  6. Step 6: Final answer
    x = 233.01

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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.