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Finding the Fourth Proportional to 204.68, 306.99 and 82.91

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Solution

The fourth proportional to 204.68, 306.99 and 82.91 is: 124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.68 : 306.99 = 82.91 : x
  2. Step 2: Convert to fraction form
    204.68/306.99 = 82.91/x
  3. Step 3: Cross multiply
    204.68x = 306.99 × 82.91
  4. Step 4: Simplify right side
    204.68x = 25,451.58
  5. Step 5: Solve for x
    x = 25,451.58/204.68
  6. Step 6: Final answer
    x = 124.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.