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Finding the Fourth Proportional to 285.23, 427.31 and 163.19

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Solution

The fourth proportional to 285.23, 427.31 and 163.19 is: 244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.23 : 427.31 = 163.19 : x
  2. Step 2: Convert to fraction form
    285.23/427.31 = 163.19/x
  3. Step 3: Cross multiply
    285.23x = 427.31 × 163.19
  4. Step 4: Simplify right side
    285.23x = 69,731.90
  5. Step 5: Solve for x
    x = 69,731.90/285.23
  6. Step 6: Final answer
    x = 244.48

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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.