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Finding the Fourth Proportional to 262.85, 394.07 and 165.44

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Solution

The fourth proportional to 262.85, 394.07 and 165.44 is: 248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.85 : 394.07 = 165.44 : x
  2. Step 2: Convert to fraction form
    262.85/394.07 = 165.44/x
  3. Step 3: Cross multiply
    262.85x = 394.07 × 165.44
  4. Step 4: Simplify right side
    262.85x = 65,195.10
  5. Step 5: Solve for x
    x = 65,195.10/262.85
  6. Step 6: Final answer
    x = 248.04

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Why These Related Problems?

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