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Finding the Fourth Proportional to 209.97, 289.74 and 116.69

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Solution

The fourth proportional to 209.97, 289.74 and 116.69 is: 161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.97 : 289.74 = 116.69 : x
  2. Step 2: Convert to fraction form
    209.97/289.74 = 116.69/x
  3. Step 3: Cross multiply
    209.97x = 289.74 × 116.69
  4. Step 4: Simplify right side
    209.97x = 33,809.18
  5. Step 5: Solve for x
    x = 33,809.18/209.97
  6. Step 6: Final answer
    x = 161.02

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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.