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Finding the Fourth Proportional to 206.88, 309.10 and 199.70

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Solution

The fourth proportional to 206.88, 309.10 and 199.70 is: 298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.88 : 309.10 = 199.70 : x
  2. Step 2: Convert to fraction form
    206.88/309.10 = 199.70/x
  3. Step 3: Cross multiply
    206.88x = 309.10 × 199.70
  4. Step 4: Simplify right side
    206.88x = 61,727.27
  5. Step 5: Solve for x
    x = 61,727.27/206.88
  6. Step 6: Final answer
    x = 298.37

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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.