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Finding the Fourth Proportional to 195.54, 269.82 and 121.80

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Solution

The fourth proportional to 195.54, 269.82 and 121.80 is: 168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.54 : 269.82 = 121.80 : x
  2. Step 2: Convert to fraction form
    195.54/269.82 = 121.80/x
  3. Step 3: Cross multiply
    195.54x = 269.82 × 121.80
  4. Step 4: Simplify right side
    195.54x = 32,864.08
  5. Step 5: Solve for x
    x = 32,864.08/195.54
  6. Step 6: Final answer
    x = 168.07

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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.