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Finding the Fourth Proportional to 198.78, 297.72 and 181.62

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Solution

The fourth proportional to 198.78, 297.72 and 181.62 is: 272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.78 : 297.72 = 181.62 : x
  2. Step 2: Convert to fraction form
    198.78/297.72 = 181.62/x
  3. Step 3: Cross multiply
    198.78x = 297.72 × 181.62
  4. Step 4: Simplify right side
    198.78x = 54,071.91
  5. Step 5: Solve for x
    x = 54,071.91/198.78
  6. Step 6: Final answer
    x = 272.02

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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.