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Finding the Fourth Proportional to 206.20, 308.70 and 200.20

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Solution

The fourth proportional to 206.20, 308.70 and 200.20 is: 299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.20 : 308.70 = 200.20 : x
  2. Step 2: Convert to fraction form
    206.20/308.70 = 200.20/x
  3. Step 3: Cross multiply
    206.20x = 308.70 × 200.20
  4. Step 4: Simplify right side
    206.20x = 61,801.74
  5. Step 5: Solve for x
    x = 61,801.74/206.20
  6. Step 6: Final answer
    x = 299.72

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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.