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Finding the Fourth Proportional to 232.26, 319.95 and 195.54

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Solution

The fourth proportional to 232.26, 319.95 and 195.54 is: 269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.26 : 319.95 = 195.54 : x
  2. Step 2: Convert to fraction form
    232.26/319.95 = 195.54/x
  3. Step 3: Cross multiply
    232.26x = 319.95 × 195.54
  4. Step 4: Simplify right side
    232.26x = 62,563.02
  5. Step 5: Solve for x
    x = 62,563.02/232.26
  6. Step 6: Final answer
    x = 269.37

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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.