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Finding the Fourth Proportional to 284.43, 426.47 and 110.96

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Solution

The fourth proportional to 284.43, 426.47 and 110.96 is: 166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.43 : 426.47 = 110.96 : x
  2. Step 2: Convert to fraction form
    284.43/426.47 = 110.96/x
  3. Step 3: Cross multiply
    284.43x = 426.47 × 110.96
  4. Step 4: Simplify right side
    284.43x = 47,321.11
  5. Step 5: Solve for x
    x = 47,321.11/284.43
  6. Step 6: Final answer
    x = 166.37

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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.