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Finding the Fourth Proportional to 198.45, 296.98 and 157.44

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Solution

The fourth proportional to 198.45, 296.98 and 157.44 is: 235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.45 : 296.98 = 157.44 : x
  2. Step 2: Convert to fraction form
    198.45/296.98 = 157.44/x
  3. Step 3: Cross multiply
    198.45x = 296.98 × 157.44
  4. Step 4: Simplify right side
    198.45x = 46,756.53
  5. Step 5: Solve for x
    x = 46,756.53/198.45
  6. Step 6: Final answer
    x = 235.61

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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.