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Finding the Fourth Proportional to 206.30, 309.13 and 134.03

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Solution

The fourth proportional to 206.30, 309.13 and 134.03 is: 200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.30 : 309.13 = 134.03 : x
  2. Step 2: Convert to fraction form
    206.30/309.13 = 134.03/x
  3. Step 3: Cross multiply
    206.30x = 309.13 × 134.03
  4. Step 4: Simplify right side
    206.30x = 41,432.69
  5. Step 5: Solve for x
    x = 41,432.69/206.30
  6. Step 6: Final answer
    x = 200.84

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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.