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Finding the Fourth Proportional to 205.20, 307.80 and 182.52

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Solution

The fourth proportional to 205.20, 307.80 and 182.52 is: 273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 307.80 = 182.52 : x
  2. Step 2: Convert to fraction form
    205.20/307.80 = 182.52/x
  3. Step 3: Cross multiply
    205.20x = 307.80 × 182.52
  4. Step 4: Simplify right side
    205.20x = 56,179.66
  5. Step 5: Solve for x
    x = 56,179.66/205.20
  6. Step 6: Final answer
    x = 273.78

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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.