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Finding the Fourth Proportional to 206.32, 308 and 191.32

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Solution

The fourth proportional to 206.32, 308 and 191.32 is: 285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.32 : 308 = 191.32 : x
  2. Step 2: Convert to fraction form
    206.32/308 = 191.32/x
  3. Step 3: Cross multiply
    206.32x = 308 × 191.32
  4. Step 4: Simplify right side
    206.32x = 58,926.56
  5. Step 5: Solve for x
    x = 58,926.56/206.32
  6. Step 6: Final answer
    x = 285.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.