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Finding the Fourth Proportional to 181.82, 272.43 and 116.61

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Solution

The fourth proportional to 181.82, 272.43 and 116.61 is: 174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.82 : 272.43 = 116.61 : x
  2. Step 2: Convert to fraction form
    181.82/272.43 = 116.61/x
  3. Step 3: Cross multiply
    181.82x = 272.43 × 116.61
  4. Step 4: Simplify right side
    181.82x = 31,768.06
  5. Step 5: Solve for x
    x = 31,768.06/181.82
  6. Step 6: Final answer
    x = 174.73

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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.