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Finding the Fourth Proportional to 288.74, 398.25 and 195.44

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Solution

The fourth proportional to 288.74, 398.25 and 195.44 is: 269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.74 : 398.25 = 195.44 : x
  2. Step 2: Convert to fraction form
    288.74/398.25 = 195.44/x
  3. Step 3: Cross multiply
    288.74x = 398.25 × 195.44
  4. Step 4: Simplify right side
    288.74x = 77,833.98
  5. Step 5: Solve for x
    x = 77,833.98/288.74
  6. Step 6: Final answer
    x = 269.56

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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.