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Finding the Fourth Proportional to 275.30, 379.82 and 205.61

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Solution

The fourth proportional to 275.30, 379.82 and 205.61 is: 283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.30 : 379.82 = 205.61 : x
  2. Step 2: Convert to fraction form
    275.30/379.82 = 205.61/x
  3. Step 3: Cross multiply
    275.30x = 379.82 × 205.61
  4. Step 4: Simplify right side
    275.30x = 78,093.41
  5. Step 5: Solve for x
    x = 78,093.41/275.30
  6. Step 6: Final answer
    x = 283.67

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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.