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Finding the Fourth Proportional to 180.82, 271.07 and 137.55

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Solution

The fourth proportional to 180.82, 271.07 and 137.55 is: 206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.82 : 271.07 = 137.55 : x
  2. Step 2: Convert to fraction form
    180.82/271.07 = 137.55/x
  3. Step 3: Cross multiply
    180.82x = 271.07 × 137.55
  4. Step 4: Simplify right side
    180.82x = 37,285.68
  5. Step 5: Solve for x
    x = 37,285.68/180.82
  6. Step 6: Final answer
    x = 206.20

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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.