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Finding the Fourth Proportional to 209.82, 289.26 and 160.77

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Solution

The fourth proportional to 209.82, 289.26 and 160.77 is: 221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 289.26 = 160.77 : x
  2. Step 2: Convert to fraction form
    209.82/289.26 = 160.77/x
  3. Step 3: Cross multiply
    209.82x = 289.26 × 160.77
  4. Step 4: Simplify right side
    209.82x = 46,504.33
  5. Step 5: Solve for x
    x = 46,504.33/209.82
  6. Step 6: Final answer
    x = 221.64

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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.