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Finding the Fourth Proportional to 198.41, 273.15 and 156.74

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Solution

The fourth proportional to 198.41, 273.15 and 156.74 is: 215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.41 : 273.15 = 156.74 : x
  2. Step 2: Convert to fraction form
    198.41/273.15 = 156.74/x
  3. Step 3: Cross multiply
    198.41x = 273.15 × 156.74
  4. Step 4: Simplify right side
    198.41x = 42,812.17
  5. Step 5: Solve for x
    x = 42,812.17/198.41
  6. Step 6: Final answer
    x = 215.78

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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.