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Finding the Fourth Proportional to 195.29, 269.25 and 121.48

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Solution

The fourth proportional to 195.29, 269.25 and 121.48 is: 167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.29 : 269.25 = 121.48 : x
  2. Step 2: Convert to fraction form
    195.29/269.25 = 121.48/x
  3. Step 3: Cross multiply
    195.29x = 269.25 × 121.48
  4. Step 4: Simplify right side
    195.29x = 32,707.82
  5. Step 5: Solve for x
    x = 32,707.82/195.29
  6. Step 6: Final answer
    x = 167.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.