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Finding the Fourth Proportional to 243.50, 336.31 and 164.68

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Solution

The fourth proportional to 243.50, 336.31 and 164.68 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.50 : 336.31 = 164.68 : x
  2. Step 2: Convert to fraction form
    243.50/336.31 = 164.68/x
  3. Step 3: Cross multiply
    243.50x = 336.31 × 164.68
  4. Step 4: Simplify right side
    243.50x = 55,383.53
  5. Step 5: Solve for x
    x = 55,383.53/243.50
  6. Step 6: Final answer
    x = 227.45

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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.