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Finding the Fourth Proportional to 206.92, 285.44 and 140.64

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Solution

The fourth proportional to 206.92, 285.44 and 140.64 is: 194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.92 : 285.44 = 140.64 : x
  2. Step 2: Convert to fraction form
    206.92/285.44 = 140.64/x
  3. Step 3: Cross multiply
    206.92x = 285.44 × 140.64
  4. Step 4: Simplify right side
    206.92x = 40,144.28
  5. Step 5: Solve for x
    x = 40,144.28/206.92
  6. Step 6: Final answer
    x = 194.01

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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.