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Finding the Fourth Proportional to 181.38, 271.62 and 120.44

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Solution

The fourth proportional to 181.38, 271.62 and 120.44 is: 180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.38 : 271.62 = 120.44 : x
  2. Step 2: Convert to fraction form
    181.38/271.62 = 120.44/x
  3. Step 3: Cross multiply
    181.38x = 271.62 × 120.44
  4. Step 4: Simplify right side
    181.38x = 32,713.91
  5. Step 5: Solve for x
    x = 32,713.91/181.38
  6. Step 6: Final answer
    x = 180.36

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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.