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Finding the Fourth Proportional to 650.96, 976.43 and 164.00

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Solution

The fourth proportional to 650.96, 976.43 and 164.00 is: 245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.96 : 976.43 = 164.00 : x
  2. Step 2: Convert to fraction form
    650.96/976.43 = 164.00/x
  3. Step 3: Cross multiply
    650.96x = 976.43 × 164.00
  4. Step 4: Simplify right side
    650.96x = 160,131.26
  5. Step 5: Solve for x
    x = 160,131.26/650.96
  6. Step 6: Final answer
    x = 245.99

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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.