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Finding the Fourth Proportional to 206.49, 284.92 and 119.14

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Solution

The fourth proportional to 206.49, 284.92 and 119.14 is: 164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 284.92 = 119.14 : x
  2. Step 2: Convert to fraction form
    206.49/284.92 = 119.14/x
  3. Step 3: Cross multiply
    206.49x = 284.92 × 119.14
  4. Step 4: Simplify right side
    206.49x = 33,945.37
  5. Step 5: Solve for x
    x = 33,945.37/206.49
  6. Step 6: Final answer
    x = 164.39

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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.