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Finding the Fourth Proportional to 206.03, 284.36 and 140.63

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Solution

The fourth proportional to 206.03, 284.36 and 140.63 is: 194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.03 : 284.36 = 140.63 : x
  2. Step 2: Convert to fraction form
    206.03/284.36 = 140.63/x
  3. Step 3: Cross multiply
    206.03x = 284.36 × 140.63
  4. Step 4: Simplify right side
    206.03x = 39,987.42
  5. Step 5: Solve for x
    x = 39,987.42/206.03
  6. Step 6: Final answer
    x = 194.09

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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.