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Finding the Fourth Proportional to 197.83, 272.46 and 181.50

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Solution

The fourth proportional to 197.83, 272.46 and 181.50 is: 249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.83 : 272.46 = 181.50 : x
  2. Step 2: Convert to fraction form
    197.83/272.46 = 181.50/x
  3. Step 3: Cross multiply
    197.83x = 272.46 × 181.50
  4. Step 4: Simplify right side
    197.83x = 49,451.49
  5. Step 5: Solve for x
    x = 49,451.49/197.83
  6. Step 6: Final answer
    x = 249.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.