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Finding the Fourth Proportional to 284.25, 425.82 and 166.83

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Solution

The fourth proportional to 284.25, 425.82 and 166.83 is: 249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.25 : 425.82 = 166.83 : x
  2. Step 2: Convert to fraction form
    284.25/425.82 = 166.83/x
  3. Step 3: Cross multiply
    284.25x = 425.82 × 166.83
  4. Step 4: Simplify right side
    284.25x = 71,040.97
  5. Step 5: Solve for x
    x = 71,040.97/284.25
  6. Step 6: Final answer
    x = 249.93

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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.