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Finding the Fourth Proportional to 198.83, 273.84 and 182.50

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Solution

The fourth proportional to 198.83, 273.84 and 182.50 is: 251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.83 : 273.84 = 182.50 : x
  2. Step 2: Convert to fraction form
    198.83/273.84 = 182.50/x
  3. Step 3: Cross multiply
    198.83x = 273.84 × 182.50
  4. Step 4: Simplify right side
    198.83x = 49,975.80
  5. Step 5: Solve for x
    x = 49,975.80/198.83
  6. Step 6: Final answer
    x = 251.35

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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.