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Finding the Fourth Proportional to 255.05, 382.27 and 131.71

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Solution

The fourth proportional to 255.05, 382.27 and 131.71 is: 197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.05 : 382.27 = 131.71 : x
  2. Step 2: Convert to fraction form
    255.05/382.27 = 131.71/x
  3. Step 3: Cross multiply
    255.05x = 382.27 × 131.71
  4. Step 4: Simplify right side
    255.05x = 50,348.78
  5. Step 5: Solve for x
    x = 50,348.78/255.05
  6. Step 6: Final answer
    x = 197.41

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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.