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Finding the Fourth Proportional to 198.32, 273.89 and 157.17

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Solution

The fourth proportional to 198.32, 273.89 and 157.17 is: 217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.32 : 273.89 = 157.17 : x
  2. Step 2: Convert to fraction form
    198.32/273.89 = 157.17/x
  3. Step 3: Cross multiply
    198.32x = 273.89 × 157.17
  4. Step 4: Simplify right side
    198.32x = 43,046.51
  5. Step 5: Solve for x
    x = 43,046.51/198.32
  6. Step 6: Final answer
    x = 217.06

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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.