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Finding the Fourth Proportional to 255.20, 382.82 and 133.43

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Solution

The fourth proportional to 255.20, 382.82 and 133.43 is: 200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.20 : 382.82 = 133.43 : x
  2. Step 2: Convert to fraction form
    255.20/382.82 = 133.43/x
  3. Step 3: Cross multiply
    255.20x = 382.82 × 133.43
  4. Step 4: Simplify right side
    255.20x = 51,077.09
  5. Step 5: Solve for x
    x = 51,077.09/255.20
  6. Step 6: Final answer
    x = 200.15

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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.