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Finding the Fourth Proportional to 551.65, 827.62 and 161.67

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Solution

The fourth proportional to 551.65, 827.62 and 161.67 is: 242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.65 : 827.62 = 161.67 : x
  2. Step 2: Convert to fraction form
    551.65/827.62 = 161.67/x
  3. Step 3: Cross multiply
    551.65x = 827.62 × 161.67
  4. Step 4: Simplify right side
    551.65x = 133,801.33
  5. Step 5: Solve for x
    x = 133,801.33/551.65
  6. Step 6: Final answer
    x = 242.55

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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.