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Finding the Fourth Proportional to 206.28, 284.70 and 140.74

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Solution

The fourth proportional to 206.28, 284.70 and 140.74 is: 194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.28 : 284.70 = 140.74 : x
  2. Step 2: Convert to fraction form
    206.28/284.70 = 140.74/x
  3. Step 3: Cross multiply
    206.28x = 284.70 × 140.74
  4. Step 4: Simplify right side
    206.28x = 40,068.68
  5. Step 5: Solve for x
    x = 40,068.68/206.28
  6. Step 6: Final answer
    x = 194.24

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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.