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Finding the Fourth Proportional to 204.06, 279.57 and 194.73

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Solution

The fourth proportional to 204.06, 279.57 and 194.73 is: 266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.06 : 279.57 = 194.73 : x
  2. Step 2: Convert to fraction form
    204.06/279.57 = 194.73/x
  3. Step 3: Cross multiply
    204.06x = 279.57 × 194.73
  4. Step 4: Simplify right side
    204.06x = 54,440.67
  5. Step 5: Solve for x
    x = 54,440.67/204.06
  6. Step 6: Final answer
    x = 266.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.