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Finding the Fourth Proportional to 229.26, 343.72 and 119.42

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Solution

The fourth proportional to 229.26, 343.72 and 119.42 is: 179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.26 : 343.72 = 119.42 : x
  2. Step 2: Convert to fraction form
    229.26/343.72 = 119.42/x
  3. Step 3: Cross multiply
    229.26x = 343.72 × 119.42
  4. Step 4: Simplify right side
    229.26x = 41,047.04
  5. Step 5: Solve for x
    x = 41,047.04/229.26
  6. Step 6: Final answer
    x = 179.04

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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.