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Finding the Fourth Proportional to 551.34, 827.10 and 166.50

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Solution

The fourth proportional to 551.34, 827.10 and 166.50 is: 249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.34 : 827.10 = 166.50 : x
  2. Step 2: Convert to fraction form
    551.34/827.10 = 166.50/x
  3. Step 3: Cross multiply
    551.34x = 827.10 × 166.50
  4. Step 4: Simplify right side
    551.34x = 137,712.15
  5. Step 5: Solve for x
    x = 137,712.15/551.34
  6. Step 6: Final answer
    x = 249.78

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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.