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Finding the Fourth Proportional to 180.85, 271.34 and 115.83

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Solution

The fourth proportional to 180.85, 271.34 and 115.83 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.85 : 271.34 = 115.83 : x
  2. Step 2: Convert to fraction form
    180.85/271.34 = 115.83/x
  3. Step 3: Cross multiply
    180.85x = 271.34 × 115.83
  4. Step 4: Simplify right side
    180.85x = 31,427.96
  5. Step 5: Solve for x
    x = 31,427.96/180.85
  6. Step 6: Final answer
    x = 173.78

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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.