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Finding the Fourth Proportional to 281.75, 389.19 and 226.70

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Solution

The fourth proportional to 281.75, 389.19 and 226.70 is: 313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.75 : 389.19 = 226.70 : x
  2. Step 2: Convert to fraction form
    281.75/389.19 = 226.70/x
  3. Step 3: Cross multiply
    281.75x = 389.19 × 226.70
  4. Step 4: Simplify right side
    281.75x = 88,226.29
  5. Step 5: Solve for x
    x = 88,226.29/281.75
  6. Step 6: Final answer
    x = 313.14

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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.