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Finding the Fourth Proportional to 205.20, 307.44 and 113.76

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Solution

The fourth proportional to 205.20, 307.44 and 113.76 is: 170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 307.44 = 113.76 : x
  2. Step 2: Convert to fraction form
    205.20/307.44 = 113.76/x
  3. Step 3: Cross multiply
    205.20x = 307.44 × 113.76
  4. Step 4: Simplify right side
    205.20x = 34,974.37
  5. Step 5: Solve for x
    x = 34,974.37/205.20
  6. Step 6: Final answer
    x = 170.44

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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.