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Finding the Fourth Proportional to 198.32, 297.50 and 54.05

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Solution

The fourth proportional to 198.32, 297.50 and 54.05 is: 81.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.32 : 297.50 = 54.05 : x
  2. Step 2: Convert to fraction form
    198.32/297.50 = 54.05/x
  3. Step 3: Cross multiply
    198.32x = 297.50 × 54.05
  4. Step 4: Simplify right side
    198.32x = 16,080.35
  5. Step 5: Solve for x
    x = 16,080.35/198.32
  6. Step 6: Final answer
    x = 81.08

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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.