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Finding the Fourth Proportional to 284.75, 426.92 and 122.34

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Solution

The fourth proportional to 284.75, 426.92 and 122.34 is: 183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.75 : 426.92 = 122.34 : x
  2. Step 2: Convert to fraction form
    284.75/426.92 = 122.34/x
  3. Step 3: Cross multiply
    284.75x = 426.92 × 122.34
  4. Step 4: Simplify right side
    284.75x = 52,228.78
  5. Step 5: Solve for x
    x = 52,228.78/284.75
  6. Step 6: Final answer
    x = 183.42

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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.