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Finding the Fourth Proportional to 229.72, 343.96 and 193.27

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Solution

The fourth proportional to 229.72, 343.96 and 193.27 is: 289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.72 : 343.96 = 193.27 : x
  2. Step 2: Convert to fraction form
    229.72/343.96 = 193.27/x
  3. Step 3: Cross multiply
    229.72x = 343.96 × 193.27
  4. Step 4: Simplify right side
    229.72x = 66,477.87
  5. Step 5: Solve for x
    x = 66,477.87/229.72
  6. Step 6: Final answer
    x = 289.39

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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.