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Finding the Fourth Proportional to 255.26, 382.80 and 133.22

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Solution

The fourth proportional to 255.26, 382.80 and 133.22 is: 199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.26 : 382.80 = 133.22 : x
  2. Step 2: Convert to fraction form
    255.26/382.80 = 133.22/x
  3. Step 3: Cross multiply
    255.26x = 382.80 × 133.22
  4. Step 4: Simplify right side
    255.26x = 50,996.62
  5. Step 5: Solve for x
    x = 50,996.62/255.26
  6. Step 6: Final answer
    x = 199.78

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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.