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Finding the Fourth Proportional to 206.83, 285.27 and 141.22

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Solution

The fourth proportional to 206.83, 285.27 and 141.22 is: 194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.83 : 285.27 = 141.22 : x
  2. Step 2: Convert to fraction form
    206.83/285.27 = 141.22/x
  3. Step 3: Cross multiply
    206.83x = 285.27 × 141.22
  4. Step 4: Simplify right side
    206.83x = 40,285.83
  5. Step 5: Solve for x
    x = 40,285.83/206.83
  6. Step 6: Final answer
    x = 194.78

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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.