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Finding the Fourth Proportional to 209.74, 289.42 and 122.42

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Solution

The fourth proportional to 209.74, 289.42 and 122.42 is: 168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.74 : 289.42 = 122.42 : x
  2. Step 2: Convert to fraction form
    209.74/289.42 = 122.42/x
  3. Step 3: Cross multiply
    209.74x = 289.42 × 122.42
  4. Step 4: Simplify right side
    209.74x = 35,430.80
  5. Step 5: Solve for x
    x = 35,430.80/209.74
  6. Step 6: Final answer
    x = 168.93

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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.