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Finding the Fourth Proportional to 198.52, 297.77 and 54.24

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Solution

The fourth proportional to 198.52, 297.77 and 54.24 is: 81.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.52 : 297.77 = 54.24 : x
  2. Step 2: Convert to fraction form
    198.52/297.77 = 54.24/x
  3. Step 3: Cross multiply
    198.52x = 297.77 × 54.24
  4. Step 4: Simplify right side
    198.52x = 16,151.18
  5. Step 5: Solve for x
    x = 16,151.18/198.52
  6. Step 6: Final answer
    x = 81.36

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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.