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Finding the Fourth Proportional to 226.95, 313.25 and 190.05

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Solution

The fourth proportional to 226.95, 313.25 and 190.05 is: 262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.95 : 313.25 = 190.05 : x
  2. Step 2: Convert to fraction form
    226.95/313.25 = 190.05/x
  3. Step 3: Cross multiply
    226.95x = 313.25 × 190.05
  4. Step 4: Simplify right side
    226.95x = 59,532.21
  5. Step 5: Solve for x
    x = 59,532.21/226.95
  6. Step 6: Final answer
    x = 262.31

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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.