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Finding the Fourth Proportional to 226.84, 339.94 and 104.80

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Solution

The fourth proportional to 226.84, 339.94 and 104.80 is: 157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.84 : 339.94 = 104.80 : x
  2. Step 2: Convert to fraction form
    226.84/339.94 = 104.80/x
  3. Step 3: Cross multiply
    226.84x = 339.94 × 104.80
  4. Step 4: Simplify right side
    226.84x = 35,625.71
  5. Step 5: Solve for x
    x = 35,625.71/226.84
  6. Step 6: Final answer
    x = 157.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.