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Finding the Fourth Proportional to 282.26, 423.26 and 108.96

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Solution

The fourth proportional to 282.26, 423.26 and 108.96 is: 163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.26 : 423.26 = 108.96 : x
  2. Step 2: Convert to fraction form
    282.26/423.26 = 108.96/x
  3. Step 3: Cross multiply
    282.26x = 423.26 × 108.96
  4. Step 4: Simplify right side
    282.26x = 46,118.41
  5. Step 5: Solve for x
    x = 46,118.41/282.26
  6. Step 6: Final answer
    x = 163.39

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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.