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Finding the Fourth Proportional to 259.74, 388.42 and 193.97

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Solution

The fourth proportional to 259.74, 388.42 and 193.97 is: 290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.74 : 388.42 = 193.97 : x
  2. Step 2: Convert to fraction form
    259.74/388.42 = 193.97/x
  3. Step 3: Cross multiply
    259.74x = 388.42 × 193.97
  4. Step 4: Simplify right side
    259.74x = 75,342.31
  5. Step 5: Solve for x
    x = 75,342.31/259.74
  6. Step 6: Final answer
    x = 290.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.