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Finding the Fourth Proportional to 227.85, 313.68 and 190.95

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Solution

The fourth proportional to 227.85, 313.68 and 190.95 is: 262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.85 : 313.68 = 190.95 : x
  2. Step 2: Convert to fraction form
    227.85/313.68 = 190.95/x
  3. Step 3: Cross multiply
    227.85x = 313.68 × 190.95
  4. Step 4: Simplify right side
    227.85x = 59,897.20
  5. Step 5: Solve for x
    x = 59,897.20/227.85
  6. Step 6: Final answer
    x = 262.88

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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.