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Finding the Fourth Proportional to 227.48, 313.68 and 161.16

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Solution

The fourth proportional to 227.48, 313.68 and 161.16 is: 222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.48 : 313.68 = 161.16 : x
  2. Step 2: Convert to fraction form
    227.48/313.68 = 161.16/x
  3. Step 3: Cross multiply
    227.48x = 313.68 × 161.16
  4. Step 4: Simplify right side
    227.48x = 50,552.67
  5. Step 5: Solve for x
    x = 50,552.67/227.48
  6. Step 6: Final answer
    x = 222.23

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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.