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Finding the Fourth Proportional to 204.52, 306.62 and 82.74

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Solution

The fourth proportional to 204.52, 306.62 and 82.74 is: 124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.52 : 306.62 = 82.74 : x
  2. Step 2: Convert to fraction form
    204.52/306.62 = 82.74/x
  3. Step 3: Cross multiply
    204.52x = 306.62 × 82.74
  4. Step 4: Simplify right side
    204.52x = 25,369.74
  5. Step 5: Solve for x
    x = 25,369.74/204.52
  6. Step 6: Final answer
    x = 124.05

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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.