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Finding the Fourth Proportional to 245.20, 338.08 and 195.92

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Solution

The fourth proportional to 245.20, 338.08 and 195.92 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.20 : 338.08 = 195.92 : x
  2. Step 2: Convert to fraction form
    245.20/338.08 = 195.92/x
  3. Step 3: Cross multiply
    245.20x = 338.08 × 195.92
  4. Step 4: Simplify right side
    245.20x = 66,236.63
  5. Step 5: Solve for x
    x = 66,236.63/245.20
  6. Step 6: Final answer
    x = 270.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.