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Finding the Fourth Proportional to 198.79, 298.23 and 132.07

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Solution

The fourth proportional to 198.79, 298.23 and 132.07 is: 198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.79 : 298.23 = 132.07 : x
  2. Step 2: Convert to fraction form
    198.79/298.23 = 132.07/x
  3. Step 3: Cross multiply
    198.79x = 298.23 × 132.07
  4. Step 4: Simplify right side
    198.79x = 39,387.24
  5. Step 5: Solve for x
    x = 39,387.24/198.79
  6. Step 6: Final answer
    x = 198.13

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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.