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Finding the Fourth Proportional to 217.11, 299.39 and 161.76

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Solution

The fourth proportional to 217.11, 299.39 and 161.76 is: 223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.11 : 299.39 = 161.76 : x
  2. Step 2: Convert to fraction form
    217.11/299.39 = 161.76/x
  3. Step 3: Cross multiply
    217.11x = 299.39 × 161.76
  4. Step 4: Simplify right side
    217.11x = 48,428.52
  5. Step 5: Solve for x
    x = 48,428.52/217.11
  6. Step 6: Final answer
    x = 223.06

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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.