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Finding the Fourth Proportional to 339.41, 509.09 and 133.97

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Solution

The fourth proportional to 339.41, 509.09 and 133.97 is: 200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.41 : 509.09 = 133.97 : x
  2. Step 2: Convert to fraction form
    339.41/509.09 = 133.97/x
  3. Step 3: Cross multiply
    339.41x = 509.09 × 133.97
  4. Step 4: Simplify right side
    339.41x = 68,199.57
  5. Step 5: Solve for x
    x = 68,199.57/339.41
  6. Step 6: Final answer
    x = 200.94

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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.