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Finding the Fourth Proportional to 367.92, 551.34 and 162.12

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Solution

The fourth proportional to 367.92, 551.34 and 162.12 is: 242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.92 : 551.34 = 162.12 : x
  2. Step 2: Convert to fraction form
    367.92/551.34 = 162.12/x
  3. Step 3: Cross multiply
    367.92x = 551.34 × 162.12
  4. Step 4: Simplify right side
    367.92x = 89,383.24
  5. Step 5: Solve for x
    x = 89,383.24/367.92
  6. Step 6: Final answer
    x = 242.94

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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.