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Finding the Fourth Proportional to 255.97, 384.14 and 198.33

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Solution

The fourth proportional to 255.97, 384.14 and 198.33 is: 297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.97 : 384.14 = 198.33 : x
  2. Step 2: Convert to fraction form
    255.97/384.14 = 198.33/x
  3. Step 3: Cross multiply
    255.97x = 384.14 × 198.33
  4. Step 4: Simplify right side
    255.97x = 76,183.57
  5. Step 5: Solve for x
    x = 76,183.57/255.97
  6. Step 6: Final answer
    x = 297.63

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Why These Related Problems?

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