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Finding the Fourth Proportional to 339.63, 509.09 and 133.91

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Solution

The fourth proportional to 339.63, 509.09 and 133.91 is: 200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.63 : 509.09 = 133.91 : x
  2. Step 2: Convert to fraction form
    339.63/509.09 = 133.91/x
  3. Step 3: Cross multiply
    339.63x = 509.09 × 133.91
  4. Step 4: Simplify right side
    339.63x = 68,170.94
  5. Step 5: Solve for x
    x = 68,170.94/339.63
  6. Step 6: Final answer
    x = 200.72

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