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Finding the Fourth Proportional to 650.05, 975.07 and 163.10

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Solution

The fourth proportional to 650.05, 975.07 and 163.10 is: 244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.05 : 975.07 = 163.10 : x
  2. Step 2: Convert to fraction form
    650.05/975.07 = 163.10/x
  3. Step 3: Cross multiply
    650.05x = 975.07 × 163.10
  4. Step 4: Simplify right side
    650.05x = 159,029.04
  5. Step 5: Solve for x
    x = 159,029.04/650.05
  6. Step 6: Final answer
    x = 244.64

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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.