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Finding the Fourth Proportional to 229.43, 343.69 and 151.13

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Solution

The fourth proportional to 229.43, 343.69 and 151.13 is: 226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.43 : 343.69 = 151.13 : x
  2. Step 2: Convert to fraction form
    229.43/343.69 = 151.13/x
  3. Step 3: Cross multiply
    229.43x = 343.69 × 151.13
  4. Step 4: Simplify right side
    229.43x = 51,942.35
  5. Step 5: Solve for x
    x = 51,942.35/229.43
  6. Step 6: Final answer
    x = 226.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.