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Finding the Fourth Proportional to 225.92, 313.20 and 222.68

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Solution

The fourth proportional to 225.92, 313.20 and 222.68 is: 308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.92 : 313.20 = 222.68 : x
  2. Step 2: Convert to fraction form
    225.92/313.20 = 222.68/x
  3. Step 3: Cross multiply
    225.92x = 313.20 × 222.68
  4. Step 4: Simplify right side
    225.92x = 69,744.16
  5. Step 5: Solve for x
    x = 69,744.16/225.92
  6. Step 6: Final answer
    x = 308.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.