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Finding the Fourth Proportional to 243.68, 336.29 and 164.84

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Solution

The fourth proportional to 243.68, 336.29 and 164.84 is: 227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.68 : 336.29 = 164.84 : x
  2. Step 2: Convert to fraction form
    243.68/336.29 = 164.84/x
  3. Step 3: Cross multiply
    243.68x = 336.29 × 164.84
  4. Step 4: Simplify right side
    243.68x = 55,431.54
  5. Step 5: Solve for x
    x = 55,431.54/243.68
  6. Step 6: Final answer
    x = 227.48

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