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Finding the Fourth Proportional to 206.97, 285.72 and 164.87

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Solution

The fourth proportional to 206.97, 285.72 and 164.87 is: 227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.97 : 285.72 = 164.87 : x
  2. Step 2: Convert to fraction form
    206.97/285.72 = 164.87/x
  3. Step 3: Cross multiply
    206.97x = 285.72 × 164.87
  4. Step 4: Simplify right side
    206.97x = 47,106.66
  5. Step 5: Solve for x
    x = 47,106.66/206.97
  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.