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Finding the Fourth Proportional to 338.57, 467.22 and 183.32

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Solution

The fourth proportional to 338.57, 467.22 and 183.32 is: 252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.57 : 467.22 = 183.32 : x
  2. Step 2: Convert to fraction form
    338.57/467.22 = 183.32/x
  3. Step 3: Cross multiply
    338.57x = 467.22 × 183.32
  4. Step 4: Simplify right side
    338.57x = 85,647.52
  5. Step 5: Solve for x
    x = 85,647.52/338.57
  6. Step 6: Final answer
    x = 252.97

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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.