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Finding the Fourth Proportional to 227.42, 312.63 and 195.80

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Solution

The fourth proportional to 227.42, 312.63 and 195.80 is: 269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.42 : 312.63 = 195.80 : x
  2. Step 2: Convert to fraction form
    227.42/312.63 = 195.80/x
  3. Step 3: Cross multiply
    227.42x = 312.63 × 195.80
  4. Step 4: Simplify right side
    227.42x = 61,211.39
  5. Step 5: Solve for x
    x = 61,211.39/227.42
  6. Step 6: Final answer
    x = 269.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.