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Finding the Fourth Proportional to 226.65, 312.60 and 195.19

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Solution

The fourth proportional to 226.65, 312.60 and 195.19 is: 269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.65 : 312.60 = 195.19 : x
  2. Step 2: Convert to fraction form
    226.65/312.60 = 195.19/x
  3. Step 3: Cross multiply
    226.65x = 312.60 × 195.19
  4. Step 4: Simplify right side
    226.65x = 61,016.78
  5. Step 5: Solve for x
    x = 61,016.78/226.65
  6. Step 6: Final answer
    x = 269.21

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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.