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Finding the Fourth Proportional to 284.54, 426.90 and 122.23

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Solution

The fourth proportional to 284.54, 426.90 and 122.23 is: 183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.54 : 426.90 = 122.23 : x
  2. Step 2: Convert to fraction form
    284.54/426.90 = 122.23/x
  3. Step 3: Cross multiply
    284.54x = 426.90 × 122.23
  4. Step 4: Simplify right side
    284.54x = 52,177.85
  5. Step 5: Solve for x
    x = 52,177.85/284.54
  6. Step 6: Final answer
    x = 183.38

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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.