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Finding the Fourth Proportional to 227.42, 340.86 and 82.98

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Solution

The fourth proportional to 227.42, 340.86 and 82.98 is: 124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.42 : 340.86 = 82.98 : x
  2. Step 2: Convert to fraction form
    227.42/340.86 = 82.98/x
  3. Step 3: Cross multiply
    227.42x = 340.86 × 82.98
  4. Step 4: Simplify right side
    227.42x = 28,284.56
  5. Step 5: Solve for x
    x = 28,284.56/227.42
  6. Step 6: Final answer
    x = 124.37

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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.