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Finding the Fourth Proportional to 227.00, 313.13 and 144.05

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Solution

The fourth proportional to 227.00, 313.13 and 144.05 is: 198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.00 : 313.13 = 144.05 : x
  2. Step 2: Convert to fraction form
    227.00/313.13 = 144.05/x
  3. Step 3: Cross multiply
    227.00x = 313.13 × 144.05
  4. Step 4: Simplify right side
    227.00x = 45,105.17
  5. Step 5: Solve for x
    x = 45,105.17/227.00
  6. Step 6: Final answer
    x = 198.70

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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.