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Finding the Fourth Proportional to 280.74, 421.41 and 226.68

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Solution

The fourth proportional to 280.74, 421.41 and 226.68 is: 340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.74 : 421.41 = 226.68 : x
  2. Step 2: Convert to fraction form
    280.74/421.41 = 226.68/x
  3. Step 3: Cross multiply
    280.74x = 421.41 × 226.68
  4. Step 4: Simplify right side
    280.74x = 95,525.22
  5. Step 5: Solve for x
    x = 95,525.22/280.74
  6. Step 6: Final answer
    x = 340.26

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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.