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Finding the Fourth Proportional to 209.84, 289.85 and 161.32

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Solution

The fourth proportional to 209.84, 289.85 and 161.32 is: 222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 289.85 = 161.32 : x
  2. Step 2: Convert to fraction form
    209.84/289.85 = 161.32/x
  3. Step 3: Cross multiply
    209.84x = 289.85 × 161.32
  4. Step 4: Simplify right side
    209.84x = 46,758.16
  5. Step 5: Solve for x
    x = 46,758.16/209.84
  6. Step 6: Final answer
    x = 222.83

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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.