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Finding the Fourth Proportional to 209.72, 289.41 and 116.46

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Solution

The fourth proportional to 209.72, 289.41 and 116.46 is: 160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.72 : 289.41 = 116.46 : x
  2. Step 2: Convert to fraction form
    209.72/289.41 = 116.46/x
  3. Step 3: Cross multiply
    209.72x = 289.41 × 116.46
  4. Step 4: Simplify right side
    209.72x = 33,704.69
  5. Step 5: Solve for x
    x = 33,704.69/209.72
  6. Step 6: Final answer
    x = 160.72

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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.