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Finding the Fourth Proportional to 181.11, 271.33 and 162.05

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Solution

The fourth proportional to 181.11, 271.33 and 162.05 is: 242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.11 : 271.33 = 162.05 : x
  2. Step 2: Convert to fraction form
    181.11/271.33 = 162.05/x
  3. Step 3: Cross multiply
    181.11x = 271.33 × 162.05
  4. Step 4: Simplify right side
    181.11x = 43,969.03
  5. Step 5: Solve for x
    x = 43,969.03/181.11
  6. Step 6: Final answer
    x = 242.78

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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.