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Finding the Fourth Proportional to 265.35, 366.31 and 195.42

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Solution

The fourth proportional to 265.35, 366.31 and 195.42 is: 269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.35 : 366.31 = 195.42 : x
  2. Step 2: Convert to fraction form
    265.35/366.31 = 195.42/x
  3. Step 3: Cross multiply
    265.35x = 366.31 × 195.42
  4. Step 4: Simplify right side
    265.35x = 71,584.30
  5. Step 5: Solve for x
    x = 71,584.30/265.35
  6. Step 6: Final answer
    x = 269.77

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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.