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Finding the Fourth Proportional to 206.56, 285.14 and 140.25

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Solution

The fourth proportional to 206.56, 285.14 and 140.25 is: 193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.56 : 285.14 = 140.25 : x
  2. Step 2: Convert to fraction form
    206.56/285.14 = 140.25/x
  3. Step 3: Cross multiply
    206.56x = 285.14 × 140.25
  4. Step 4: Simplify right side
    206.56x = 39,991.24
  5. Step 5: Solve for x
    x = 39,991.24/206.56
  6. Step 6: Final answer
    x = 193.61

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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.