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Finding the Fourth Proportional to 367.96, 551.40 and 223.24

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Solution

The fourth proportional to 367.96, 551.40 and 223.24 is: 334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.96 : 551.40 = 223.24 : x
  2. Step 2: Convert to fraction form
    367.96/551.40 = 223.24/x
  3. Step 3: Cross multiply
    367.96x = 551.40 × 223.24
  4. Step 4: Simplify right side
    367.96x = 123,094.54
  5. Step 5: Solve for x
    x = 123,094.54/367.96
  6. Step 6: Final answer
    x = 334.53

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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.