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Finding the Fourth Proportional to 206.33, 284.66 and 164.98

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Solution

The fourth proportional to 206.33, 284.66 and 164.98 is: 227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.33 : 284.66 = 164.98 : x
  2. Step 2: Convert to fraction form
    206.33/284.66 = 164.98/x
  3. Step 3: Cross multiply
    206.33x = 284.66 × 164.98
  4. Step 4: Simplify right side
    206.33x = 46,963.21
  5. Step 5: Solve for x
    x = 46,963.21/206.33
  6. Step 6: Final answer
    x = 227.61

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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.