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Finding the Fourth Proportional to 339.38, 509.12 and 119.94

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Solution

The fourth proportional to 339.38, 509.12 and 119.94 is: 179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.38 : 509.12 = 119.94 : x
  2. Step 2: Convert to fraction form
    339.38/509.12 = 119.94/x
  3. Step 3: Cross multiply
    339.38x = 509.12 × 119.94
  4. Step 4: Simplify right side
    339.38x = 61,063.85
  5. Step 5: Solve for x
    x = 61,063.85/339.38
  6. Step 6: Final answer
    x = 179.93

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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.