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Finding the Fourth Proportional to 181.98, 252.21 and 163.75

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Solution

The fourth proportional to 181.98, 252.21 and 163.75 is: 226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.98 : 252.21 = 163.75 : x
  2. Step 2: Convert to fraction form
    181.98/252.21 = 163.75/x
  3. Step 3: Cross multiply
    181.98x = 252.21 × 163.75
  4. Step 4: Simplify right side
    181.98x = 41,299.39
  5. Step 5: Solve for x
    x = 41,299.39/181.98
  6. Step 6: Final answer
    x = 226.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.