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Finding the Fourth Proportional to 206.28, 309.20 and 90.70

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Solution

The fourth proportional to 206.28, 309.20 and 90.70 is: 135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.28 : 309.20 = 90.70 : x
  2. Step 2: Convert to fraction form
    206.28/309.20 = 90.70/x
  3. Step 3: Cross multiply
    206.28x = 309.20 × 90.70
  4. Step 4: Simplify right side
    206.28x = 28,044.44
  5. Step 5: Solve for x
    x = 28,044.44/206.28
  6. Step 6: Final answer
    x = 135.95

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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.