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Finding the Fourth Proportional to 551.48, 827.30 and 166.84

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Solution

The fourth proportional to 551.48, 827.30 and 166.84 is: 250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.48 : 827.30 = 166.84 : x
  2. Step 2: Convert to fraction form
    551.48/827.30 = 166.84/x
  3. Step 3: Cross multiply
    551.48x = 827.30 × 166.84
  4. Step 4: Simplify right side
    551.48x = 138,026.73
  5. Step 5: Solve for x
    x = 138,026.73/551.48
  6. Step 6: Final answer
    x = 250.28

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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.