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Finding the Fourth Proportional to 206.49, 284.97 and 117.97

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Solution

The fourth proportional to 206.49, 284.97 and 117.97 is: 162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 284.97 = 117.97 : x
  2. Step 2: Convert to fraction form
    206.49/284.97 = 117.97/x
  3. Step 3: Cross multiply
    206.49x = 284.97 × 117.97
  4. Step 4: Simplify right side
    206.49x = 33,617.91
  5. Step 5: Solve for x
    x = 33,617.91/206.49
  6. Step 6: Final answer
    x = 162.81

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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.