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Finding the Fourth Proportional to 338, 506.68 and 121.44

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Solution

The fourth proportional to 338, 506.68 and 121.44 is: 182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338 : 506.68 = 121.44 : x
  2. Step 2: Convert to fraction form
    338/506.68 = 121.44/x
  3. Step 3: Cross multiply
    338x = 506.68 × 121.44
  4. Step 4: Simplify right side
    338x = 61,531.22
  5. Step 5: Solve for x
    x = 61,531.22/338
  6. Step 6: Final answer
    x = 182.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.