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Finding the Fourth Proportional to 269.07, 371.21 and 195.23

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Solution

The fourth proportional to 269.07, 371.21 and 195.23 is: 269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.07 : 371.21 = 195.23 : x
  2. Step 2: Convert to fraction form
    269.07/371.21 = 195.23/x
  3. Step 3: Cross multiply
    269.07x = 371.21 × 195.23
  4. Step 4: Simplify right side
    269.07x = 72,468.98
  5. Step 5: Solve for x
    x = 72,468.98/269.07
  6. Step 6: Final answer
    x = 269.33

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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.