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Finding the Fourth Proportional to 193, 289.24 and 132.52

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Solution

The fourth proportional to 193, 289.24 and 132.52 is: 198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193 : 289.24 = 132.52 : x
  2. Step 2: Convert to fraction form
    193/289.24 = 132.52/x
  3. Step 3: Cross multiply
    193x = 289.24 × 132.52
  4. Step 4: Simplify right side
    193x = 38,330.08
  5. Step 5: Solve for x
    x = 38,330.08/193
  6. Step 6: Final answer
    x = 198.60

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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.