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Finding the Fourth Proportional to 227.21, 340.86 and 73.15

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Solution

The fourth proportional to 227.21, 340.86 and 73.15 is: 109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.21 : 340.86 = 73.15 : x
  2. Step 2: Convert to fraction form
    227.21/340.86 = 73.15/x
  3. Step 3: Cross multiply
    227.21x = 340.86 × 73.15
  4. Step 4: Simplify right side
    227.21x = 24,933.91
  5. Step 5: Solve for x
    x = 24,933.91/227.21
  6. Step 6: Final answer
    x = 109.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.