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Finding the Fourth Proportional to 180.48, 270.95 and 131.73

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Solution

The fourth proportional to 180.48, 270.95 and 131.73 is: 197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.48 : 270.95 = 131.73 : x
  2. Step 2: Convert to fraction form
    180.48/270.95 = 131.73/x
  3. Step 3: Cross multiply
    180.48x = 270.95 × 131.73
  4. Step 4: Simplify right side
    180.48x = 35,690.57
  5. Step 5: Solve for x
    x = 35,690.57/180.48
  6. Step 6: Final answer
    x = 197.76

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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.