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Finding the Fourth Proportional to 263.32, 393.94 and 227.64

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Solution

The fourth proportional to 263.32, 393.94 and 227.64 is: 340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.32 : 393.94 = 227.64 : x
  2. Step 2: Convert to fraction form
    263.32/393.94 = 227.64/x
  3. Step 3: Cross multiply
    263.32x = 393.94 × 227.64
  4. Step 4: Simplify right side
    263.32x = 89,676.50
  5. Step 5: Solve for x
    x = 89,676.50/263.32
  6. Step 6: Final answer
    x = 340.56

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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.