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Finding the Fourth Proportional to 206.23, 309.81 and 199.75

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Solution

The fourth proportional to 206.23, 309.81 and 199.75 is: 300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.23 : 309.81 = 199.75 : x
  2. Step 2: Convert to fraction form
    206.23/309.81 = 199.75/x
  3. Step 3: Cross multiply
    206.23x = 309.81 × 199.75
  4. Step 4: Simplify right side
    206.23x = 61,884.55
  5. Step 5: Solve for x
    x = 61,884.55/206.23
  6. Step 6: Final answer
    x = 300.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.