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Finding the Fourth Proportional to 196.74, 295.47 and 132.66

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Solution

The fourth proportional to 196.74, 295.47 and 132.66 is: 199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.74 : 295.47 = 132.66 : x
  2. Step 2: Convert to fraction form
    196.74/295.47 = 132.66/x
  3. Step 3: Cross multiply
    196.74x = 295.47 × 132.66
  4. Step 4: Simplify right side
    196.74x = 39,197.05
  5. Step 5: Solve for x
    x = 39,197.05/196.74
  6. Step 6: Final answer
    x = 199.23

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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.