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Finding the Fourth Proportional to 209.67, 289.31 and 116.41

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Solution

The fourth proportional to 209.67, 289.31 and 116.41 is: 160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.67 : 289.31 = 116.41 : x
  2. Step 2: Convert to fraction form
    209.67/289.31 = 116.41/x
  3. Step 3: Cross multiply
    209.67x = 289.31 × 116.41
  4. Step 4: Simplify right side
    209.67x = 33,679.55
  5. Step 5: Solve for x
    x = 33,679.55/209.67
  6. Step 6: Final answer
    x = 160.63

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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.