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Finding the Fourth Proportional to 198.37, 298.05 and 191.08

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Solution

The fourth proportional to 198.37, 298.05 and 191.08 is: 287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.37 : 298.05 = 191.08 : x
  2. Step 2: Convert to fraction form
    198.37/298.05 = 191.08/x
  3. Step 3: Cross multiply
    198.37x = 298.05 × 191.08
  4. Step 4: Simplify right side
    198.37x = 56,951.39
  5. Step 5: Solve for x
    x = 56,951.39/198.37
  6. Step 6: Final answer
    x = 287.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.