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Finding the Fourth Proportional to 209.83, 289.57 and 116.57

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Solution

The fourth proportional to 209.83, 289.57 and 116.57 is: 160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.83 : 289.57 = 116.57 : x
  2. Step 2: Convert to fraction form
    209.83/289.57 = 116.57/x
  3. Step 3: Cross multiply
    209.83x = 289.57 × 116.57
  4. Step 4: Simplify right side
    209.83x = 33,753.44
  5. Step 5: Solve for x
    x = 33,753.44/209.83
  6. Step 6: Final answer
    x = 160.86

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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.