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Finding the Fourth Proportional to 206.38, 284.47 and 140.77

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Solution

The fourth proportional to 206.38, 284.47 and 140.77 is: 194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.38 : 284.47 = 140.77 : x
  2. Step 2: Convert to fraction form
    206.38/284.47 = 140.77/x
  3. Step 3: Cross multiply
    206.38x = 284.47 × 140.77
  4. Step 4: Simplify right side
    206.38x = 40,044.84
  5. Step 5: Solve for x
    x = 40,044.84/206.38
  6. Step 6: Final answer
    x = 194.03

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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.