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Finding the Fourth Proportional to 650.43, 975.63 and 163.48

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Solution

The fourth proportional to 650.43, 975.63 and 163.48 is: 245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.43 : 975.63 = 163.48 : x
  2. Step 2: Convert to fraction form
    650.43/975.63 = 163.48/x
  3. Step 3: Cross multiply
    650.43x = 975.63 × 163.48
  4. Step 4: Simplify right side
    650.43x = 159,495.99
  5. Step 5: Solve for x
    x = 159,495.99/650.43
  6. Step 6: Final answer
    x = 245.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.