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Finding the Fourth Proportional to 209.78, 289.40 and 121.22

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Solution

The fourth proportional to 209.78, 289.40 and 121.22 is: 167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.78 : 289.40 = 121.22 : x
  2. Step 2: Convert to fraction form
    209.78/289.40 = 121.22/x
  3. Step 3: Cross multiply
    209.78x = 289.40 × 121.22
  4. Step 4: Simplify right side
    209.78x = 35,079.92
  5. Step 5: Solve for x
    x = 35,079.92/209.78
  6. Step 6: Final answer
    x = 167.23

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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.