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Finding the Fourth Proportional to 217.35, 299.96 and 164.81

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Solution

The fourth proportional to 217.35, 299.96 and 164.81 is: 227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.35 : 299.96 = 164.81 : x
  2. Step 2: Convert to fraction form
    217.35/299.96 = 164.81/x
  3. Step 3: Cross multiply
    217.35x = 299.96 × 164.81
  4. Step 4: Simplify right side
    217.35x = 49,434.08
  5. Step 5: Solve for x
    x = 49,434.08/217.35
  6. Step 6: Final answer
    x = 227.44

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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.