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Finding the Fourth Proportional to 284.15, 426.06 and 110.78

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Solution

The fourth proportional to 284.15, 426.06 and 110.78 is: 166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.15 : 426.06 = 110.78 : x
  2. Step 2: Convert to fraction form
    284.15/426.06 = 110.78/x
  3. Step 3: Cross multiply
    284.15x = 426.06 × 110.78
  4. Step 4: Simplify right side
    284.15x = 47,198.93
  5. Step 5: Solve for x
    x = 47,198.93/284.15
  6. Step 6: Final answer
    x = 166.11

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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.