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Finding the Fourth Proportional to 206.49, 284.72 and 164.91

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Solution

The fourth proportional to 206.49, 284.72 and 164.91 is: 227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 284.72 = 164.91 : x
  2. Step 2: Convert to fraction form
    206.49/284.72 = 164.91/x
  3. Step 3: Cross multiply
    206.49x = 284.72 × 164.91
  4. Step 4: Simplify right side
    206.49x = 46,952.35
  5. Step 5: Solve for x
    x = 46,952.35/206.49
  6. Step 6: Final answer
    x = 227.38

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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.