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Finding the Fourth Proportional to 285.21, 427.68 and 163.26

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Solution

The fourth proportional to 285.21, 427.68 and 163.26 is: 244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.21 : 427.68 = 163.26 : x
  2. Step 2: Convert to fraction form
    285.21/427.68 = 163.26/x
  3. Step 3: Cross multiply
    285.21x = 427.68 × 163.26
  4. Step 4: Simplify right side
    285.21x = 69,823.04
  5. Step 5: Solve for x
    x = 69,823.04/285.21
  6. Step 6: Final answer
    x = 244.81

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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.