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Finding the Fourth Proportional to 206.92, 285.38 and 160.43

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Solution

The fourth proportional to 206.92, 285.38 and 160.43 is: 221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.92 : 285.38 = 160.43 : x
  2. Step 2: Convert to fraction form
    206.92/285.38 = 160.43/x
  3. Step 3: Cross multiply
    206.92x = 285.38 × 160.43
  4. Step 4: Simplify right side
    206.92x = 45,783.51
  5. Step 5: Solve for x
    x = 45,783.51/206.92
  6. Step 6: Final answer
    x = 221.27

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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.