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Finding the Fourth Proportional to 227.68, 339.56 and 193.12

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Solution

The fourth proportional to 227.68, 339.56 and 193.12 is: 288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 339.56 = 193.12 : x
  2. Step 2: Convert to fraction form
    227.68/339.56 = 193.12/x
  3. Step 3: Cross multiply
    227.68x = 339.56 × 193.12
  4. Step 4: Simplify right side
    227.68x = 65,575.83
  5. Step 5: Solve for x
    x = 65,575.83/227.68
  6. Step 6: Final answer
    x = 288.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.