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Finding the Fourth Proportional to 193.08, 289.67 and 132.24

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Solution

The fourth proportional to 193.08, 289.67 and 132.24 is: 198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.08 : 289.67 = 132.24 : x
  2. Step 2: Convert to fraction form
    193.08/289.67 = 132.24/x
  3. Step 3: Cross multiply
    193.08x = 289.67 × 132.24
  4. Step 4: Simplify right side
    193.08x = 38,305.30
  5. Step 5: Solve for x
    x = 38,305.30/193.08
  6. Step 6: Final answer
    x = 198.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.