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Finding the Fourth Proportional to 198.74, 299.27 and 173.36

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Solution

The fourth proportional to 198.74, 299.27 and 173.36 is: 261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.74 : 299.27 = 173.36 : x
  2. Step 2: Convert to fraction form
    198.74/299.27 = 173.36/x
  3. Step 3: Cross multiply
    198.74x = 299.27 × 173.36
  4. Step 4: Simplify right side
    198.74x = 51,882.95
  5. Step 5: Solve for x
    x = 51,882.95/198.74
  6. Step 6: Final answer
    x = 261.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.