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Finding the Fourth Proportional to 227.37, 341.52 and 194.85

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Solution

The fourth proportional to 227.37, 341.52 and 194.85 is: 292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.37 : 341.52 = 194.85 : x
  2. Step 2: Convert to fraction form
    227.37/341.52 = 194.85/x
  3. Step 3: Cross multiply
    227.37x = 341.52 × 194.85
  4. Step 4: Simplify right side
    227.37x = 66,545.17
  5. Step 5: Solve for x
    x = 66,545.17/227.37
  6. Step 6: Final answer
    x = 292.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.