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Finding the Fourth Proportional to 198.39, 297.57 and 54.09

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Solution

The fourth proportional to 198.39, 297.57 and 54.09 is: 81.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.39 : 297.57 = 54.09 : x
  2. Step 2: Convert to fraction form
    198.39/297.57 = 54.09/x
  3. Step 3: Cross multiply
    198.39x = 297.57 × 54.09
  4. Step 4: Simplify right side
    198.39x = 16,095.56
  5. Step 5: Solve for x
    x = 16,095.56/198.39
  6. Step 6: Final answer
    x = 81.13

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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.