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Finding the Fourth Proportional to 551.76, 827.76 and 167

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Solution

The fourth proportional to 551.76, 827.76 and 167 is: 250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.76 : 827.76 = 167 : x
  2. Step 2: Convert to fraction form
    551.76/827.76 = 167/x
  3. Step 3: Cross multiply
    551.76x = 827.76 × 167
  4. Step 4: Simplify right side
    551.76x = 138,235.92
  5. Step 5: Solve for x
    x = 138,235.92/551.76
  6. Step 6: Final answer
    x = 250.54

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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.