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Finding the Fourth Proportional to 284.92, 427.44 and 163.24

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Solution

The fourth proportional to 284.92, 427.44 and 163.24 is: 244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.92 : 427.44 = 163.24 : x
  2. Step 2: Convert to fraction form
    284.92/427.44 = 163.24/x
  3. Step 3: Cross multiply
    284.92x = 427.44 × 163.24
  4. Step 4: Simplify right side
    284.92x = 69,775.31
  5. Step 5: Solve for x
    x = 69,775.31/284.92
  6. Step 6: Final answer
    x = 244.89

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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.