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Finding the Fourth Proportional to 217.14, 299.73 and 164.69

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Solution

The fourth proportional to 217.14, 299.73 and 164.69 is: 227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.14 : 299.73 = 164.69 : x
  2. Step 2: Convert to fraction form
    217.14/299.73 = 164.69/x
  3. Step 3: Cross multiply
    217.14x = 299.73 × 164.69
  4. Step 4: Simplify right side
    217.14x = 49,362.53
  5. Step 5: Solve for x
    x = 49,362.53/217.14
  6. Step 6: Final answer
    x = 227.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.