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Finding the Fourth Proportional to 205.38, 307.46 and 133.09

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Solution

The fourth proportional to 205.38, 307.46 and 133.09 is: 199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 307.46 = 133.09 : x
  2. Step 2: Convert to fraction form
    205.38/307.46 = 133.09/x
  3. Step 3: Cross multiply
    205.38x = 307.46 × 133.09
  4. Step 4: Simplify right side
    205.38x = 40,919.85
  5. Step 5: Solve for x
    x = 40,919.85/205.38
  6. Step 6: Final answer
    x = 199.24

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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.