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Finding the Fourth Proportional to 650.66, 975.96 and 163.70

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Solution

The fourth proportional to 650.66, 975.96 and 163.70 is: 245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.66 : 975.96 = 163.70 : x
  2. Step 2: Convert to fraction form
    650.66/975.96 = 163.70/x
  3. Step 3: Cross multiply
    650.66x = 975.96 × 163.70
  4. Step 4: Simplify right side
    650.66x = 159,764.65
  5. Step 5: Solve for x
    x = 159,764.65/650.66
  6. Step 6: Final answer
    x = 245.54

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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.