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Finding the Fourth Proportional to 209.44, 289 and 120.92

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Solution

The fourth proportional to 209.44, 289 and 120.92 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.44 : 289 = 120.92 : x
  2. Step 2: Convert to fraction form
    209.44/289 = 120.92/x
  3. Step 3: Cross multiply
    209.44x = 289 × 120.92
  4. Step 4: Simplify right side
    209.44x = 34,945.88
  5. Step 5: Solve for x
    x = 34,945.88/209.44
  6. Step 6: Final answer
    x = 166.85

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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.