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Finding the Fourth Proportional to 227.13, 313.64 and 168.81

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Solution

The fourth proportional to 227.13, 313.64 and 168.81 is: 233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.13 : 313.64 = 168.81 : x
  2. Step 2: Convert to fraction form
    227.13/313.64 = 168.81/x
  3. Step 3: Cross multiply
    227.13x = 313.64 × 168.81
  4. Step 4: Simplify right side
    227.13x = 52,945.57
  5. Step 5: Solve for x
    x = 52,945.57/227.13
  6. Step 6: Final answer
    x = 233.11

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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.