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Finding the Fourth Proportional to 338.90, 467.69 and 189.54

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Solution

The fourth proportional to 338.90, 467.69 and 189.54 is: 261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.90 : 467.69 = 189.54 : x
  2. Step 2: Convert to fraction form
    338.90/467.69 = 189.54/x
  3. Step 3: Cross multiply
    338.90x = 467.69 × 189.54
  4. Step 4: Simplify right side
    338.90x = 88,645.01
  5. Step 5: Solve for x
    x = 88,645.01/338.90
  6. Step 6: Final answer
    x = 261.57

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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.