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Finding the Fourth Proportional to 227.37, 313.68 and 144.45

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Solution

The fourth proportional to 227.37, 313.68 and 144.45 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.37 : 313.68 = 144.45 : x
  2. Step 2: Convert to fraction form
    227.37/313.68 = 144.45/x
  3. Step 3: Cross multiply
    227.37x = 313.68 × 144.45
  4. Step 4: Simplify right side
    227.37x = 45,311.08
  5. Step 5: Solve for x
    x = 45,311.08/227.37
  6. Step 6: Final answer
    x = 199.28

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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.