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Finding the Fourth Proportional to 206.85, 309.60 and 199.56

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Solution

The fourth proportional to 206.85, 309.60 and 199.56 is: 298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.85 : 309.60 = 199.56 : x
  2. Step 2: Convert to fraction form
    206.85/309.60 = 199.56/x
  3. Step 3: Cross multiply
    206.85x = 309.60 × 199.56
  4. Step 4: Simplify right side
    206.85x = 61,784.38
  5. Step 5: Solve for x
    x = 61,784.38/206.85
  6. Step 6: Final answer
    x = 298.69

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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.