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Finding the Fourth Proportional to 551.90, 827.75 and 167.06

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Solution

The fourth proportional to 551.90, 827.75 and 167.06 is: 250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.90 : 827.75 = 167.06 : x
  2. Step 2: Convert to fraction form
    551.90/827.75 = 167.06/x
  3. Step 3: Cross multiply
    551.90x = 827.75 × 167.06
  4. Step 4: Simplify right side
    551.90x = 138,286.40
  5. Step 5: Solve for x
    x = 138,286.40/551.90
  6. Step 6: Final answer
    x = 250.56

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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.