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Finding the Fourth Proportional to 227.21, 342.71 and 225.86

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Solution

The fourth proportional to 227.21, 342.71 and 225.86 is: 340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.21 : 342.71 = 225.86 : x
  2. Step 2: Convert to fraction form
    227.21/342.71 = 225.86/x
  3. Step 3: Cross multiply
    227.21x = 342.71 × 225.86
  4. Step 4: Simplify right side
    227.21x = 77,404.48
  5. Step 5: Solve for x
    x = 77,404.48/227.21
  6. Step 6: Final answer
    x = 340.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.