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Finding the Fourth Proportional to 339.23, 508.98 and 133.94

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Solution

The fourth proportional to 339.23, 508.98 and 133.94 is: 200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.23 : 508.98 = 133.94 : x
  2. Step 2: Convert to fraction form
    339.23/508.98 = 133.94/x
  3. Step 3: Cross multiply
    339.23x = 508.98 × 133.94
  4. Step 4: Simplify right side
    339.23x = 68,174.56
  5. Step 5: Solve for x
    x = 68,174.56/339.23
  6. Step 6: Final answer
    x = 200.97

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Why These Related Problems?

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