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Finding the Fourth Proportional to 209.47, 289.07 and 116.21

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Solution

The fourth proportional to 209.47, 289.07 and 116.21 is: 160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.47 : 289.07 = 116.21 : x
  2. Step 2: Convert to fraction form
    209.47/289.07 = 116.21/x
  3. Step 3: Cross multiply
    209.47x = 289.07 × 116.21
  4. Step 4: Simplify right side
    209.47x = 33,592.97
  5. Step 5: Solve for x
    x = 33,592.97/209.47
  6. Step 6: Final answer
    x = 160.37

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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.