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Finding the Fourth Proportional to 229.29, 343.81 and 92.23

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Solution

The fourth proportional to 229.29, 343.81 and 92.23 is: 138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.29 : 343.81 = 92.23 : x
  2. Step 2: Convert to fraction form
    229.29/343.81 = 92.23/x
  3. Step 3: Cross multiply
    229.29x = 343.81 × 92.23
  4. Step 4: Simplify right side
    229.29x = 31,709.60
  5. Step 5: Solve for x
    x = 31,709.60/229.29
  6. Step 6: Final answer
    x = 138.29

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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.