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Finding the Fourth Proportional to 339.51, 508.97 and 133.94

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Solution

The fourth proportional to 339.51, 508.97 and 133.94 is: 200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.51 : 508.97 = 133.94 : x
  2. Step 2: Convert to fraction form
    339.51/508.97 = 133.94/x
  3. Step 3: Cross multiply
    339.51x = 508.97 × 133.94
  4. Step 4: Simplify right side
    339.51x = 68,171.44
  5. Step 5: Solve for x
    x = 68,171.44/339.51
  6. Step 6: Final answer
    x = 200.79

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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.