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Finding the Fourth Proportional to 264, 394.32 and 222.96

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Solution

The fourth proportional to 264, 394.32 and 222.96 is: 333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264 : 394.32 = 222.96 : x
  2. Step 2: Convert to fraction form
    264/394.32 = 222.96/x
  3. Step 3: Cross multiply
    264x = 394.32 × 222.96
  4. Step 4: Simplify right side
    264x = 87,917.59
  5. Step 5: Solve for x
    x = 87,917.59/264
  6. Step 6: Final answer
    x = 333.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.