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Finding the Fourth Proportional to 163.63, 246.56 and 135.37

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Solution

The fourth proportional to 163.63, 246.56 and 135.37 is: 203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.63 : 246.56 = 135.37 : x
  2. Step 2: Convert to fraction form
    163.63/246.56 = 135.37/x
  3. Step 3: Cross multiply
    163.63x = 246.56 × 135.37
  4. Step 4: Simplify right side
    163.63x = 33,376.15
  5. Step 5: Solve for x
    x = 33,376.15/163.63
  6. Step 6: Final answer
    x = 203.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.