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Finding the Fourth Proportional to 227.28, 312.32 and 190.36

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Solution

The fourth proportional to 227.28, 312.32 and 190.36 is: 261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.28 : 312.32 = 190.36 : x
  2. Step 2: Convert to fraction form
    227.28/312.32 = 190.36/x
  3. Step 3: Cross multiply
    227.28x = 312.32 × 190.36
  4. Step 4: Simplify right side
    227.28x = 59,453.24
  5. Step 5: Solve for x
    x = 59,453.24/227.28
  6. Step 6: Final answer
    x = 261.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.