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Finding the Fourth Proportional to 217.23, 299.61 and 164.79

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Solution

The fourth proportional to 217.23, 299.61 and 164.79 is: 227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.23 : 299.61 = 164.79 : x
  2. Step 2: Convert to fraction form
    217.23/299.61 = 164.79/x
  3. Step 3: Cross multiply
    217.23x = 299.61 × 164.79
  4. Step 4: Simplify right side
    217.23x = 49,372.73
  5. Step 5: Solve for x
    x = 49,372.73/217.23
  6. Step 6: Final answer
    x = 227.28

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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.