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Finding the Fourth Proportional to 181.56, 271.92 and 109.26

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Solution

The fourth proportional to 181.56, 271.92 and 109.26 is: 163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.56 : 271.92 = 109.26 : x
  2. Step 2: Convert to fraction form
    181.56/271.92 = 109.26/x
  3. Step 3: Cross multiply
    181.56x = 271.92 × 109.26
  4. Step 4: Simplify right side
    181.56x = 29,709.98
  5. Step 5: Solve for x
    x = 29,709.98/181.56
  6. Step 6: Final answer
    x = 163.64

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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.