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Finding the Fourth Proportional to 206.22, 284.63 and 140.75

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Solution

The fourth proportional to 206.22, 284.63 and 140.75 is: 194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.22 : 284.63 = 140.75 : x
  2. Step 2: Convert to fraction form
    206.22/284.63 = 140.75/x
  3. Step 3: Cross multiply
    206.22x = 284.63 × 140.75
  4. Step 4: Simplify right side
    206.22x = 40,059.55
  5. Step 5: Solve for x
    x = 40,059.55/206.22
  6. Step 6: Final answer
    x = 194.26

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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.