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Finding the Fourth Proportional to 236.12, 353.58 and 164.12

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Solution

The fourth proportional to 236.12, 353.58 and 164.12 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.12 : 353.58 = 164.12 : x
  2. Step 2: Convert to fraction form
    236.12/353.58 = 164.12/x
  3. Step 3: Cross multiply
    236.12x = 353.58 × 164.12
  4. Step 4: Simplify right side
    236.12x = 58,029.55
  5. Step 5: Solve for x
    x = 58,029.55/236.12
  6. Step 6: Final answer
    x = 245.76

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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.