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Finding the Fourth Proportional to 206.21, 309.59 and 199.19

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Solution

The fourth proportional to 206.21, 309.59 and 199.19 is: 299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.21 : 309.59 = 199.19 : x
  2. Step 2: Convert to fraction form
    206.21/309.59 = 199.19/x
  3. Step 3: Cross multiply
    206.21x = 309.59 × 199.19
  4. Step 4: Simplify right side
    206.21x = 61,667.23
  5. Step 5: Solve for x
    x = 61,667.23/206.21
  6. Step 6: Final answer
    x = 299.05

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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.