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Finding the Fourth Proportional to 222.92, 332.69 and 217.16

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Solution

The fourth proportional to 222.92, 332.69 and 217.16 is: 324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.92 : 332.69 = 217.16 : x
  2. Step 2: Convert to fraction form
    222.92/332.69 = 217.16/x
  3. Step 3: Cross multiply
    222.92x = 332.69 × 217.16
  4. Step 4: Simplify right side
    222.92x = 72,246.96
  5. Step 5: Solve for x
    x = 72,246.96/222.92
  6. Step 6: Final answer
    x = 324.09

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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.