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Finding the Fourth Proportional to 198.95, 299.10 and 158.81

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Solution

The fourth proportional to 198.95, 299.10 and 158.81 is: 238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.95 : 299.10 = 158.81 : x
  2. Step 2: Convert to fraction form
    198.95/299.10 = 158.81/x
  3. Step 3: Cross multiply
    198.95x = 299.10 × 158.81
  4. Step 4: Simplify right side
    198.95x = 47,500.07
  5. Step 5: Solve for x
    x = 47,500.07/198.95
  6. Step 6: Final answer
    x = 238.75

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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.