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Finding the Fourth Proportional to 163.68, 223.92 and 150.72

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Solution

The fourth proportional to 163.68, 223.92 and 150.72 is: 206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.68 : 223.92 = 150.72 : x
  2. Step 2: Convert to fraction form
    163.68/223.92 = 150.72/x
  3. Step 3: Cross multiply
    163.68x = 223.92 × 150.72
  4. Step 4: Simplify right side
    163.68x = 33,749.22
  5. Step 5: Solve for x
    x = 33,749.22/163.68
  6. Step 6: Final answer
    x = 206.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.