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Finding the Fourth Proportional to 284.78, 426.87 and 122.42

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Solution

The fourth proportional to 284.78, 426.87 and 122.42 is: 183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.78 : 426.87 = 122.42 : x
  2. Step 2: Convert to fraction form
    284.78/426.87 = 122.42/x
  3. Step 3: Cross multiply
    284.78x = 426.87 × 122.42
  4. Step 4: Simplify right side
    284.78x = 52,257.43
  5. Step 5: Solve for x
    x = 52,257.43/284.78
  6. Step 6: Final answer
    x = 183.50

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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.