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Finding the Fourth Proportional to 227.16, 313.04 and 161.54

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Solution

The fourth proportional to 227.16, 313.04 and 161.54 is: 222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.16 : 313.04 = 161.54 : x
  2. Step 2: Convert to fraction form
    227.16/313.04 = 161.54/x
  3. Step 3: Cross multiply
    227.16x = 313.04 × 161.54
  4. Step 4: Simplify right side
    227.16x = 50,568.48
  5. Step 5: Solve for x
    x = 50,568.48/227.16
  6. Step 6: Final answer
    x = 222.61

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