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Finding the Fourth Proportional to 650.41, 975.62 and 163.46

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Solution

The fourth proportional to 650.41, 975.62 and 163.46 is: 245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.41 : 975.62 = 163.46 : x
  2. Step 2: Convert to fraction form
    650.41/975.62 = 163.46/x
  3. Step 3: Cross multiply
    650.41x = 975.62 × 163.46
  4. Step 4: Simplify right side
    650.41x = 159,474.85
  5. Step 5: Solve for x
    x = 159,474.85/650.41
  6. Step 6: Final answer
    x = 245.19

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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.