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Finding the Fourth Proportional to 198.64, 297.40 and 169.75

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Solution

The fourth proportional to 198.64, 297.40 and 169.75 is: 254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.64 : 297.40 = 169.75 : x
  2. Step 2: Convert to fraction form
    198.64/297.40 = 169.75/x
  3. Step 3: Cross multiply
    198.64x = 297.40 × 169.75
  4. Step 4: Simplify right side
    198.64x = 50,483.65
  5. Step 5: Solve for x
    x = 50,483.65/198.64
  6. Step 6: Final answer
    x = 254.15

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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.