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Finding the Fourth Proportional to 181.87, 272.64 and 84.33

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Solution

The fourth proportional to 181.87, 272.64 and 84.33 is: 126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.87 : 272.64 = 84.33 : x
  2. Step 2: Convert to fraction form
    181.87/272.64 = 84.33/x
  3. Step 3: Cross multiply
    181.87x = 272.64 × 84.33
  4. Step 4: Simplify right side
    181.87x = 22,991.73
  5. Step 5: Solve for x
    x = 22,991.73/181.87
  6. Step 6: Final answer
    x = 126.42

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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.