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Finding the Fourth Proportional to 284.75, 426.60 and 206.84

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Solution

The fourth proportional to 284.75, 426.60 and 206.84 is: 309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.75 : 426.60 = 206.84 : x
  2. Step 2: Convert to fraction form
    284.75/426.60 = 206.84/x
  3. Step 3: Cross multiply
    284.75x = 426.60 × 206.84
  4. Step 4: Simplify right side
    284.75x = 88,237.94
  5. Step 5: Solve for x
    x = 88,237.94/284.75
  6. Step 6: Final answer
    x = 309.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.