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Finding the Fourth Proportional to 198.62, 273.49 and 157.04

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Solution

The fourth proportional to 198.62, 273.49 and 157.04 is: 216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.62 : 273.49 = 157.04 : x
  2. Step 2: Convert to fraction form
    198.62/273.49 = 157.04/x
  3. Step 3: Cross multiply
    198.62x = 273.49 × 157.04
  4. Step 4: Simplify right side
    198.62x = 42,947.11
  5. Step 5: Solve for x
    x = 42,947.11/198.62
  6. Step 6: Final answer
    x = 216.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.