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Finding the Fourth Proportional to 195.09, 269.09 and 121.31

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Solution

The fourth proportional to 195.09, 269.09 and 121.31 is: 167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.09 : 269.09 = 121.31 : x
  2. Step 2: Convert to fraction form
    195.09/269.09 = 121.31/x
  3. Step 3: Cross multiply
    195.09x = 269.09 × 121.31
  4. Step 4: Simplify right side
    195.09x = 32,643.31
  5. Step 5: Solve for x
    x = 32,643.31/195.09
  6. Step 6: Final answer
    x = 167.32

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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.