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Finding the Fourth Proportional to 243.37, 335.64 and 164.68

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Solution

The fourth proportional to 243.37, 335.64 and 164.68 is: 227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.37 : 335.64 = 164.68 : x
  2. Step 2: Convert to fraction form
    243.37/335.64 = 164.68/x
  3. Step 3: Cross multiply
    243.37x = 335.64 × 164.68
  4. Step 4: Simplify right side
    243.37x = 55,273.20
  5. Step 5: Solve for x
    x = 55,273.20/243.37
  6. Step 6: Final answer
    x = 227.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.