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Finding the Fourth Proportional to 275.43, 381.06 and 265.44

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Solution

The fourth proportional to 275.43, 381.06 and 265.44 is: 367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.43 : 381.06 = 265.44 : x
  2. Step 2: Convert to fraction form
    275.43/381.06 = 265.44/x
  3. Step 3: Cross multiply
    275.43x = 381.06 × 265.44
  4. Step 4: Simplify right side
    275.43x = 101,148.57
  5. Step 5: Solve for x
    x = 101,148.57/275.43
  6. Step 6: Final answer
    x = 367.24

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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.