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Finding the Fourth Proportional to 318.80, 477.96 and 227.60

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Solution

The fourth proportional to 318.80, 477.96 and 227.60 is: 341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.80 : 477.96 = 227.60 : x
  2. Step 2: Convert to fraction form
    318.80/477.96 = 227.60/x
  3. Step 3: Cross multiply
    318.80x = 477.96 × 227.60
  4. Step 4: Simplify right side
    318.80x = 108,783.70
  5. Step 5: Solve for x
    x = 108,783.70/318.80
  6. Step 6: Final answer
    x = 341.23

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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.