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Finding the Fourth Proportional to 198.64, 297.51 and 147.37

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Solution

The fourth proportional to 198.64, 297.51 and 147.37 is: 220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.64 : 297.51 = 147.37 : x
  2. Step 2: Convert to fraction form
    198.64/297.51 = 147.37/x
  3. Step 3: Cross multiply
    198.64x = 297.51 × 147.37
  4. Step 4: Simplify right side
    198.64x = 43,844.05
  5. Step 5: Solve for x
    x = 43,844.05/198.64
  6. Step 6: Final answer
    x = 220.72

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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.