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Finding the Fourth Proportional to 339.18, 508.67 and 133.73

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Solution

The fourth proportional to 339.18, 508.67 and 133.73 is: 200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.18 : 508.67 = 133.73 : x
  2. Step 2: Convert to fraction form
    339.18/508.67 = 133.73/x
  3. Step 3: Cross multiply
    339.18x = 508.67 × 133.73
  4. Step 4: Simplify right side
    339.18x = 68,024.44
  5. Step 5: Solve for x
    x = 68,024.44/339.18
  6. Step 6: Final answer
    x = 200.56

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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.