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Finding the Fourth Proportional to 206.49, 308.07 and 199.02

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Solution

The fourth proportional to 206.49, 308.07 and 199.02 is: 296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 308.07 = 199.02 : x
  2. Step 2: Convert to fraction form
    206.49/308.07 = 199.02/x
  3. Step 3: Cross multiply
    206.49x = 308.07 × 199.02
  4. Step 4: Simplify right side
    206.49x = 61,311.10
  5. Step 5: Solve for x
    x = 61,311.10/206.49
  6. Step 6: Final answer
    x = 296.92

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Why These Related Problems?

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