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Finding the Fourth Proportional to 209.81, 289.50 and 116.54

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Solution

The fourth proportional to 209.81, 289.50 and 116.54 is: 160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.81 : 289.50 = 116.54 : x
  2. Step 2: Convert to fraction form
    209.81/289.50 = 116.54/x
  3. Step 3: Cross multiply
    209.81x = 289.50 × 116.54
  4. Step 4: Simplify right side
    209.81x = 33,736.88
  5. Step 5: Solve for x
    x = 33,736.88/209.81
  6. Step 6: Final answer
    x = 160.80

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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.