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Finding the Fourth Proportional to 227.96, 314.52 and 169.76

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Solution

The fourth proportional to 227.96, 314.52 and 169.76 is: 234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.96 : 314.52 = 169.76 : x
  2. Step 2: Convert to fraction form
    227.96/314.52 = 169.76/x
  3. Step 3: Cross multiply
    227.96x = 314.52 × 169.76
  4. Step 4: Simplify right side
    227.96x = 53,392.92
  5. Step 5: Solve for x
    x = 53,392.92/227.96
  6. Step 6: Final answer
    x = 234.22

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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.