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Finding the Fourth Proportional to 284.07, 426.25 and 137.75

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Solution

The fourth proportional to 284.07, 426.25 and 137.75 is: 206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.07 : 426.25 = 137.75 : x
  2. Step 2: Convert to fraction form
    284.07/426.25 = 137.75/x
  3. Step 3: Cross multiply
    284.07x = 426.25 × 137.75
  4. Step 4: Simplify right side
    284.07x = 58,715.60
  5. Step 5: Solve for x
    x = 58,715.60/284.07
  6. Step 6: Final answer
    x = 206.69

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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.