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Finding the Fourth Proportional to 198.22, 297.40 and 100.74

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Solution

The fourth proportional to 198.22, 297.40 and 100.74 is: 151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.22 : 297.40 = 100.74 : x
  2. Step 2: Convert to fraction form
    198.22/297.40 = 100.74/x
  3. Step 3: Cross multiply
    198.22x = 297.40 × 100.74
  4. Step 4: Simplify right side
    198.22x = 29,960.08
  5. Step 5: Solve for x
    x = 29,960.08/198.22
  6. Step 6: Final answer
    x = 151.15

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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.