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Finding the Fourth Proportional to 206.12, 309.27 and 90.65

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Solution

The fourth proportional to 206.12, 309.27 and 90.65 is: 136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.12 : 309.27 = 90.65 : x
  2. Step 2: Convert to fraction form
    206.12/309.27 = 90.65/x
  3. Step 3: Cross multiply
    206.12x = 309.27 × 90.65
  4. Step 4: Simplify right side
    206.12x = 28,035.33
  5. Step 5: Solve for x
    x = 28,035.33/206.12
  6. Step 6: Final answer
    x = 136.01

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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.