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Finding the Fourth Proportional to 163.92, 243.84 and 162.12

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Solution

The fourth proportional to 163.92, 243.84 and 162.12 is: 241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 243.84 = 162.12 : x
  2. Step 2: Convert to fraction form
    163.92/243.84 = 162.12/x
  3. Step 3: Cross multiply
    163.92x = 243.84 × 162.12
  4. Step 4: Simplify right side
    163.92x = 39,531.34
  5. Step 5: Solve for x
    x = 39,531.34/163.92
  6. Step 6: Final answer
    x = 241.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.