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Finding the Fourth Proportional to 245.82, 338.76 and 198.48

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Solution

The fourth proportional to 245.82, 338.76 and 198.48 is: 273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.82 : 338.76 = 198.48 : x
  2. Step 2: Convert to fraction form
    245.82/338.76 = 198.48/x
  3. Step 3: Cross multiply
    245.82x = 338.76 × 198.48
  4. Step 4: Simplify right side
    245.82x = 67,237.08
  5. Step 5: Solve for x
    x = 67,237.08/245.82
  6. Step 6: Final answer
    x = 273.52

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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.