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Finding the Fourth Proportional to 551.62, 827.32 and 161.54

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Solution

The fourth proportional to 551.62, 827.32 and 161.54 is: 242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.62 : 827.32 = 161.54 : x
  2. Step 2: Convert to fraction form
    551.62/827.32 = 161.54/x
  3. Step 3: Cross multiply
    551.62x = 827.32 × 161.54
  4. Step 4: Simplify right side
    551.62x = 133,645.27
  5. Step 5: Solve for x
    x = 133,645.27/551.62
  6. Step 6: Final answer
    x = 242.28

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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.