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Finding the Fourth Proportional to 209.33, 288.92 and 120.84

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Solution

The fourth proportional to 209.33, 288.92 and 120.84 is: 166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.33 : 288.92 = 120.84 : x
  2. Step 2: Convert to fraction form
    209.33/288.92 = 120.84/x
  3. Step 3: Cross multiply
    209.33x = 288.92 × 120.84
  4. Step 4: Simplify right side
    209.33x = 34,913.26
  5. Step 5: Solve for x
    x = 34,913.26/209.33
  6. Step 6: Final answer
    x = 166.78

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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.