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Finding the Fourth Proportional to 227.05, 313.37 and 144.10

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Solution

The fourth proportional to 227.05, 313.37 and 144.10 is: 198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.05 : 313.37 = 144.10 : x
  2. Step 2: Convert to fraction form
    227.05/313.37 = 144.10/x
  3. Step 3: Cross multiply
    227.05x = 313.37 × 144.10
  4. Step 4: Simplify right side
    227.05x = 45,155.07
  5. Step 5: Solve for x
    x = 45,155.07/227.05
  6. Step 6: Final answer
    x = 198.87

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