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Finding the Fourth Proportional to 205.11, 307.26 and 132.75

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Solution

The fourth proportional to 205.11, 307.26 and 132.75 is: 198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.11 : 307.26 = 132.75 : x
  2. Step 2: Convert to fraction form
    205.11/307.26 = 132.75/x
  3. Step 3: Cross multiply
    205.11x = 307.26 × 132.75
  4. Step 4: Simplify right side
    205.11x = 40,788.77
  5. Step 5: Solve for x
    x = 40,788.77/205.11
  6. Step 6: Final answer
    x = 198.86

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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.