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Finding the Fourth Proportional to 227.77, 343.09 and 214.09

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Solution

The fourth proportional to 227.77, 343.09 and 214.09 is: 322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.77 : 343.09 = 214.09 : x
  2. Step 2: Convert to fraction form
    227.77/343.09 = 214.09/x
  3. Step 3: Cross multiply
    227.77x = 343.09 × 214.09
  4. Step 4: Simplify right side
    227.77x = 73,452.14
  5. Step 5: Solve for x
    x = 73,452.14/227.77
  6. Step 6: Final answer
    x = 322.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.