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Finding the Fourth Proportional to 198.02, 297.05 and 61.05

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Solution

The fourth proportional to 198.02, 297.05 and 61.05 is: 91.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.02 : 297.05 = 61.05 : x
  2. Step 2: Convert to fraction form
    198.02/297.05 = 61.05/x
  3. Step 3: Cross multiply
    198.02x = 297.05 × 61.05
  4. Step 4: Simplify right side
    198.02x = 18,136.31
  5. Step 5: Solve for x
    x = 18,136.31/198.02
  6. Step 6: Final answer
    x = 91.59

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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.