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Finding the Fourth Proportional to 284.15, 425.55 and 225.97

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Solution

The fourth proportional to 284.15, 425.55 and 225.97 is: 338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.15 : 425.55 = 225.97 : x
  2. Step 2: Convert to fraction form
    284.15/425.55 = 225.97/x
  3. Step 3: Cross multiply
    284.15x = 425.55 × 225.97
  4. Step 4: Simplify right side
    284.15x = 96,161.53
  5. Step 5: Solve for x
    x = 96,161.53/284.15
  6. Step 6: Final answer
    x = 338.42

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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.