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Finding the Fourth Proportional to 339.14, 509.03 and 133.85

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Solution

The fourth proportional to 339.14, 509.03 and 133.85 is: 200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.14 : 509.03 = 133.85 : x
  2. Step 2: Convert to fraction form
    339.14/509.03 = 133.85/x
  3. Step 3: Cross multiply
    339.14x = 509.03 × 133.85
  4. Step 4: Simplify right side
    339.14x = 68,133.00
  5. Step 5: Solve for x
    x = 68,133.00/339.14
  6. Step 6: Final answer
    x = 200.90

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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.