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Finding the Fourth Proportional to 209.57, 289.21 and 116.33

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Solution

The fourth proportional to 209.57, 289.21 and 116.33 is: 160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.57 : 289.21 = 116.33 : x
  2. Step 2: Convert to fraction form
    209.57/289.21 = 116.33/x
  3. Step 3: Cross multiply
    209.57x = 289.21 × 116.33
  4. Step 4: Simplify right side
    209.57x = 33,643.80
  5. Step 5: Solve for x
    x = 33,643.80/209.57
  6. Step 6: Final answer
    x = 160.54

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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.