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Finding the Fourth Proportional to 551.38, 827.07 and 166.63

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Solution

The fourth proportional to 551.38, 827.07 and 166.63 is: 249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.38 : 827.07 = 166.63 : x
  2. Step 2: Convert to fraction form
    551.38/827.07 = 166.63/x
  3. Step 3: Cross multiply
    551.38x = 827.07 × 166.63
  4. Step 4: Simplify right side
    551.38x = 137,813.84
  5. Step 5: Solve for x
    x = 137,813.84/551.38
  6. Step 6: Final answer
    x = 249.94

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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.