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Finding the Fourth Proportional to 198.34, 273.76 and 115.46

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Solution

The fourth proportional to 198.34, 273.76 and 115.46 is: 159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.34 : 273.76 = 115.46 : x
  2. Step 2: Convert to fraction form
    198.34/273.76 = 115.46/x
  3. Step 3: Cross multiply
    198.34x = 273.76 × 115.46
  4. Step 4: Simplify right side
    198.34x = 31,607.70
  5. Step 5: Solve for x
    x = 31,607.70/198.34
  6. Step 6: Final answer
    x = 159.36

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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.