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Finding the Fourth Proportional to 262.80, 394.24 and 80.15

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Solution

The fourth proportional to 262.80, 394.24 and 80.15 is: 120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.80 : 394.24 = 80.15 : x
  2. Step 2: Convert to fraction form
    262.80/394.24 = 80.15/x
  3. Step 3: Cross multiply
    262.80x = 394.24 × 80.15
  4. Step 4: Simplify right side
    262.80x = 31,596.16
  5. Step 5: Solve for x
    x = 31,596.16/262.80
  6. Step 6: Final answer
    x = 120.23

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