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Finding the Fourth Proportional to 197.63, 295.90 and 132.54

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Solution

The fourth proportional to 197.63, 295.90 and 132.54 is: 198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.63 : 295.90 = 132.54 : x
  2. Step 2: Convert to fraction form
    197.63/295.90 = 132.54/x
  3. Step 3: Cross multiply
    197.63x = 295.90 × 132.54
  4. Step 4: Simplify right side
    197.63x = 39,216.44
  5. Step 5: Solve for x
    x = 39,216.44/197.63
  6. Step 6: Final answer
    x = 198.44

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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.