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Finding the Fourth Proportional to 181.29, 271.77 and 120.27

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Solution

The fourth proportional to 181.29, 271.77 and 120.27 is: 180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.29 : 271.77 = 120.27 : x
  2. Step 2: Convert to fraction form
    181.29/271.77 = 120.27/x
  3. Step 3: Cross multiply
    181.29x = 271.77 × 120.27
  4. Step 4: Simplify right side
    181.29x = 32,685.78
  5. Step 5: Solve for x
    x = 32,685.78/181.29
  6. Step 6: Final answer
    x = 180.30

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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.