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Finding the Fourth Proportional to 339.14, 508.94 and 131.09

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Solution

The fourth proportional to 339.14, 508.94 and 131.09 is: 196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.14 : 508.94 = 131.09 : x
  2. Step 2: Convert to fraction form
    339.14/508.94 = 131.09/x
  3. Step 3: Cross multiply
    339.14x = 508.94 × 131.09
  4. Step 4: Simplify right side
    339.14x = 66,713.74
  5. Step 5: Solve for x
    x = 66,713.74/339.14
  6. Step 6: Final answer
    x = 196.72

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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.