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Finding the Fourth Proportional to 227.43, 313.64 and 144.40

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Solution

The fourth proportional to 227.43, 313.64 and 144.40 is: 199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.43 : 313.64 = 144.40 : x
  2. Step 2: Convert to fraction form
    227.43/313.64 = 144.40/x
  3. Step 3: Cross multiply
    227.43x = 313.64 × 144.40
  4. Step 4: Simplify right side
    227.43x = 45,289.62
  5. Step 5: Solve for x
    x = 45,289.62/227.43
  6. Step 6: Final answer
    x = 199.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.