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Finding the Fourth Proportional to 206.43, 284.97 and 136.64

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Solution

The fourth proportional to 206.43, 284.97 and 136.64 is: 188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.43 : 284.97 = 136.64 : x
  2. Step 2: Convert to fraction form
    206.43/284.97 = 136.64/x
  3. Step 3: Cross multiply
    206.43x = 284.97 × 136.64
  4. Step 4: Simplify right side
    206.43x = 38,938.30
  5. Step 5: Solve for x
    x = 38,938.30/206.43
  6. Step 6: Final answer
    x = 188.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.