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Finding the Fourth Proportional to 243.33, 335.69 and 164.62

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Solution

The fourth proportional to 243.33, 335.69 and 164.62 is: 227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.33 : 335.69 = 164.62 : x
  2. Step 2: Convert to fraction form
    243.33/335.69 = 164.62/x
  3. Step 3: Cross multiply
    243.33x = 335.69 × 164.62
  4. Step 4: Simplify right side
    243.33x = 55,260.45
  5. Step 5: Solve for x
    x = 55,260.45/243.33
  6. Step 6: Final answer
    x = 227.10

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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.