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Finding the Fourth Proportional to 650.76, 976.17 and 163.82

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Solution

The fourth proportional to 650.76, 976.17 and 163.82 is: 245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.76 : 976.17 = 163.82 : x
  2. Step 2: Convert to fraction form
    650.76/976.17 = 163.82/x
  3. Step 3: Cross multiply
    650.76x = 976.17 × 163.82
  4. Step 4: Simplify right side
    650.76x = 159,911.29
  5. Step 5: Solve for x
    x = 159,911.29/650.76
  6. Step 6: Final answer
    x = 245.73

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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.