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Finding the Fourth Proportional to 265.82, 367.32 and 195.95

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Solution

The fourth proportional to 265.82, 367.32 and 195.95 is: 270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.82 : 367.32 = 195.95 : x
  2. Step 2: Convert to fraction form
    265.82/367.32 = 195.95/x
  3. Step 3: Cross multiply
    265.82x = 367.32 × 195.95
  4. Step 4: Simplify right side
    265.82x = 71,974.52
  5. Step 5: Solve for x
    x = 71,974.52/265.82
  6. Step 6: Final answer
    x = 270.77

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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.