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Finding the Fourth Proportional to 229.14, 343.83 and 151.05

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Solution

The fourth proportional to 229.14, 343.83 and 151.05 is: 226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.14 : 343.83 = 151.05 : x
  2. Step 2: Convert to fraction form
    229.14/343.83 = 151.05/x
  3. Step 3: Cross multiply
    229.14x = 343.83 × 151.05
  4. Step 4: Simplify right side
    229.14x = 51,936.09
  5. Step 5: Solve for x
    x = 51,936.09/229.14
  6. Step 6: Final answer
    x = 226.66

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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.