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Finding the Fourth Proportional to 236.82, 354.42 and 164.46

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Solution

The fourth proportional to 236.82, 354.42 and 164.46 is: 246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.82 : 354.42 = 164.46 : x
  2. Step 2: Convert to fraction form
    236.82/354.42 = 164.46/x
  3. Step 3: Cross multiply
    236.82x = 354.42 × 164.46
  4. Step 4: Simplify right side
    236.82x = 58,287.91
  5. Step 5: Solve for x
    x = 58,287.91/236.82
  6. Step 6: Final answer
    x = 246.13

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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.