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Finding the Fourth Proportional to 650.54, 975.79 and 163.59

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Solution

The fourth proportional to 650.54, 975.79 and 163.59 is: 245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.54 : 975.79 = 163.59 : x
  2. Step 2: Convert to fraction form
    650.54/975.79 = 163.59/x
  3. Step 3: Cross multiply
    650.54x = 975.79 × 163.59
  4. Step 4: Simplify right side
    650.54x = 159,624.61
  5. Step 5: Solve for x
    x = 159,624.61/650.54
  6. Step 6: Final answer
    x = 245.37

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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.