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Finding the Fourth Proportional to 227.26, 340.79 and 73.13

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Solution

The fourth proportional to 227.26, 340.79 and 73.13 is: 109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.26 : 340.79 = 73.13 : x
  2. Step 2: Convert to fraction form
    227.26/340.79 = 73.13/x
  3. Step 3: Cross multiply
    227.26x = 340.79 × 73.13
  4. Step 4: Simplify right side
    227.26x = 24,922.64
  5. Step 5: Solve for x
    x = 24,922.64/227.26
  6. Step 6: Final answer
    x = 109.67

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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.