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Finding the Fourth Proportional to 193.23, 289.59 and 132.21

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Solution

The fourth proportional to 193.23, 289.59 and 132.21 is: 198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.23 : 289.59 = 132.21 : x
  2. Step 2: Convert to fraction form
    193.23/289.59 = 132.21/x
  3. Step 3: Cross multiply
    193.23x = 289.59 × 132.21
  4. Step 4: Simplify right side
    193.23x = 38,286.69
  5. Step 5: Solve for x
    x = 38,286.69/193.23
  6. Step 6: Final answer
    x = 198.14

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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.