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Finding the Fourth Proportional to 163.08, 223.70 and 160.44

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Solution

The fourth proportional to 163.08, 223.70 and 160.44 is: 220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.08 : 223.70 = 160.44 : x
  2. Step 2: Convert to fraction form
    163.08/223.70 = 160.44/x
  3. Step 3: Cross multiply
    163.08x = 223.70 × 160.44
  4. Step 4: Simplify right side
    163.08x = 35,889.63
  5. Step 5: Solve for x
    x = 35,889.63/163.08
  6. Step 6: Final answer
    x = 220.07

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