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Finding the Fourth Proportional to 217.81, 300.59 and 161.09

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Solution

The fourth proportional to 217.81, 300.59 and 161.09 is: 222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.81 : 300.59 = 161.09 : x
  2. Step 2: Convert to fraction form
    217.81/300.59 = 161.09/x
  3. Step 3: Cross multiply
    217.81x = 300.59 × 161.09
  4. Step 4: Simplify right side
    217.81x = 48,421.53
  5. Step 5: Solve for x
    x = 48,421.53/217.81
  6. Step 6: Final answer
    x = 222.31

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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.