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Finding the Fourth Proportional to 206.54, 284.97 and 119.21

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Solution

The fourth proportional to 206.54, 284.97 and 119.21 is: 164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.54 : 284.97 = 119.21 : x
  2. Step 2: Convert to fraction form
    206.54/284.97 = 119.21/x
  3. Step 3: Cross multiply
    206.54x = 284.97 × 119.21
  4. Step 4: Simplify right side
    206.54x = 33,971.27
  5. Step 5: Solve for x
    x = 33,971.27/206.54
  6. Step 6: Final answer
    x = 164.48

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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.