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Finding the Fourth Proportional to 243.76, 336.34 and 164.92

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Solution

The fourth proportional to 243.76, 336.34 and 164.92 is: 227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.76 : 336.34 = 164.92 : x
  2. Step 2: Convert to fraction form
    243.76/336.34 = 164.92/x
  3. Step 3: Cross multiply
    243.76x = 336.34 × 164.92
  4. Step 4: Simplify right side
    243.76x = 55,469.19
  5. Step 5: Solve for x
    x = 55,469.19/243.76
  6. Step 6: Final answer
    x = 227.56

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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.