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Finding the Fourth Proportional to 280.80, 421.14 and 107.41

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Solution

The fourth proportional to 280.80, 421.14 and 107.41 is: 161.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.80 : 421.14 = 107.41 : x
  2. Step 2: Convert to fraction form
    280.80/421.14 = 107.41/x
  3. Step 3: Cross multiply
    280.80x = 421.14 × 107.41
  4. Step 4: Simplify right side
    280.80x = 45,234.48
  5. Step 5: Solve for x
    x = 45,234.48/280.80
  6. Step 6: Final answer
    x = 161.09

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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.