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Finding the Fourth Proportional to 206.43, 284.91 and 127.75

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Solution

The fourth proportional to 206.43, 284.91 and 127.75 is: 176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.43 : 284.91 = 127.75 : x
  2. Step 2: Convert to fraction form
    206.43/284.91 = 127.75/x
  3. Step 3: Cross multiply
    206.43x = 284.91 × 127.75
  4. Step 4: Simplify right side
    206.43x = 36,396.54
  5. Step 5: Solve for x
    x = 36,396.54/206.43
  6. Step 6: Final answer
    x = 176.31

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