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Finding the Fourth Proportional to 198.10, 273.04 and 135.82

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Solution

The fourth proportional to 198.10, 273.04 and 135.82 is: 187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.10 : 273.04 = 135.82 : x
  2. Step 2: Convert to fraction form
    198.10/273.04 = 135.82/x
  3. Step 3: Cross multiply
    198.10x = 273.04 × 135.82
  4. Step 4: Simplify right side
    198.10x = 37,084.29
  5. Step 5: Solve for x
    x = 37,084.29/198.10
  6. Step 6: Final answer
    x = 187.20

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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.