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Finding the Fourth Proportional to 227.09, 312.71 and 197.93

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Solution

The fourth proportional to 227.09, 312.71 and 197.93 is: 272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.09 : 312.71 = 197.93 : x
  2. Step 2: Convert to fraction form
    227.09/312.71 = 197.93/x
  3. Step 3: Cross multiply
    227.09x = 312.71 × 197.93
  4. Step 4: Simplify right side
    227.09x = 61,892.14
  5. Step 5: Solve for x
    x = 61,892.14/227.09
  6. Step 6: Final answer
    x = 272.55

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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.