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Finding the Fourth Proportional to 245.82, 338.23 and 196.05

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Solution

The fourth proportional to 245.82, 338.23 and 196.05 is: 269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.82 : 338.23 = 196.05 : x
  2. Step 2: Convert to fraction form
    245.82/338.23 = 196.05/x
  3. Step 3: Cross multiply
    245.82x = 338.23 × 196.05
  4. Step 4: Simplify right side
    245.82x = 66,310.40
  5. Step 5: Solve for x
    x = 66,310.40/245.82
  6. Step 6: Final answer
    x = 269.75

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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.