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Finding the Fourth Proportional to 209.57, 289.46 and 161.03

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Solution

The fourth proportional to 209.57, 289.46 and 161.03 is: 222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.57 : 289.46 = 161.03 : x
  2. Step 2: Convert to fraction form
    209.57/289.46 = 161.03/x
  3. Step 3: Cross multiply
    209.57x = 289.46 × 161.03
  4. Step 4: Simplify right side
    209.57x = 46,612.87
  5. Step 5: Solve for x
    x = 46,612.87/209.57
  6. Step 6: Final answer
    x = 222.43

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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.