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Finding the Fourth Proportional to 282.22, 422.80 and 241.21

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Solution

The fourth proportional to 282.22, 422.80 and 241.21 is: 361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.22 : 422.80 = 241.21 : x
  2. Step 2: Convert to fraction form
    282.22/422.80 = 241.21/x
  3. Step 3: Cross multiply
    282.22x = 422.80 × 241.21
  4. Step 4: Simplify right side
    282.22x = 101,984.87
  5. Step 5: Solve for x
    x = 101,984.87/282.22
  6. Step 6: Final answer
    x = 361.37

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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.