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Finding the Fourth Proportional to 217.08, 299.19 and 161.97

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Solution

The fourth proportional to 217.08, 299.19 and 161.97 is: 223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.08 : 299.19 = 161.97 : x
  2. Step 2: Convert to fraction form
    217.08/299.19 = 161.97/x
  3. Step 3: Cross multiply
    217.08x = 299.19 × 161.97
  4. Step 4: Simplify right side
    217.08x = 48,459.80
  5. Step 5: Solve for x
    x = 48,459.80/217.08
  6. Step 6: Final answer
    x = 223.23

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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.