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Finding the Fourth Proportional to 338.52, 467.16 and 189.16

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Solution

The fourth proportional to 338.52, 467.16 and 189.16 is: 261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.52 : 467.16 = 189.16 : x
  2. Step 2: Convert to fraction form
    338.52/467.16 = 189.16/x
  3. Step 3: Cross multiply
    338.52x = 467.16 × 189.16
  4. Step 4: Simplify right side
    338.52x = 88,365.98
  5. Step 5: Solve for x
    x = 88,365.98/338.52
  6. Step 6: Final answer
    x = 261.04

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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.