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Finding the Fourth Proportional to 227.80, 313.38 and 190.22

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Solution

The fourth proportional to 227.80, 313.38 and 190.22 is: 261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.80 : 313.38 = 190.22 : x
  2. Step 2: Convert to fraction form
    227.80/313.38 = 190.22/x
  3. Step 3: Cross multiply
    227.80x = 313.38 × 190.22
  4. Step 4: Simplify right side
    227.80x = 59,611.14
  5. Step 5: Solve for x
    x = 59,611.14/227.80
  6. Step 6: Final answer
    x = 261.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.