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Finding the Fourth Proportional to 217.17, 299.30 and 161.82

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Solution

The fourth proportional to 217.17, 299.30 and 161.82 is: 223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.17 : 299.30 = 161.82 : x
  2. Step 2: Convert to fraction form
    217.17/299.30 = 161.82/x
  3. Step 3: Cross multiply
    217.17x = 299.30 × 161.82
  4. Step 4: Simplify right side
    217.17x = 48,431.92
  5. Step 5: Solve for x
    x = 48,431.92/217.17
  6. Step 6: Final answer
    x = 223.01

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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.