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Finding the Fourth Proportional to 338.44, 467.04 and 183.19

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Solution

The fourth proportional to 338.44, 467.04 and 183.19 is: 252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.44 : 467.04 = 183.19 : x
  2. Step 2: Convert to fraction form
    338.44/467.04 = 183.19/x
  3. Step 3: Cross multiply
    338.44x = 467.04 × 183.19
  4. Step 4: Simplify right side
    338.44x = 85,556.58
  5. Step 5: Solve for x
    x = 85,556.58/338.44
  6. Step 6: Final answer
    x = 252.80

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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.