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Finding the Fourth Proportional to 650.07, 975.12 and 163.12

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Solution

The fourth proportional to 650.07, 975.12 and 163.12 is: 244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.07 : 975.12 = 163.12 : x
  2. Step 2: Convert to fraction form
    650.07/975.12 = 163.12/x
  3. Step 3: Cross multiply
    650.07x = 975.12 × 163.12
  4. Step 4: Simplify right side
    650.07x = 159,061.57
  5. Step 5: Solve for x
    x = 159,061.57/650.07
  6. Step 6: Final answer
    x = 244.68

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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.