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Finding the Fourth Proportional to 650.84, 976.25 and 163.92

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Solution

The fourth proportional to 650.84, 976.25 and 163.92 is: 245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.84 : 976.25 = 163.92 : x
  2. Step 2: Convert to fraction form
    650.84/976.25 = 163.92/x
  3. Step 3: Cross multiply
    650.84x = 976.25 × 163.92
  4. Step 4: Simplify right side
    650.84x = 160,030.97
  5. Step 5: Solve for x
    x = 160,030.97/650.84
  6. Step 6: Final answer
    x = 245.89

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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.