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Finding the Fourth Proportional to 164.82, 246.96 and 141.96

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Solution

The fourth proportional to 164.82, 246.96 and 141.96 is: 212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.82 : 246.96 = 141.96 : x
  2. Step 2: Convert to fraction form
    164.82/246.96 = 141.96/x
  3. Step 3: Cross multiply
    164.82x = 246.96 × 141.96
  4. Step 4: Simplify right side
    164.82x = 35,058.44
  5. Step 5: Solve for x
    x = 35,058.44/164.82
  6. Step 6: Final answer
    x = 212.71

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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.