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Finding the Fourth Proportional to 163.06, 223.55 and 160.14

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Solution

The fourth proportional to 163.06, 223.55 and 160.14 is: 219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.06 : 223.55 = 160.14 : x
  2. Step 2: Convert to fraction form
    163.06/223.55 = 160.14/x
  3. Step 3: Cross multiply
    163.06x = 223.55 × 160.14
  4. Step 4: Simplify right side
    163.06x = 35,799.30
  5. Step 5: Solve for x
    x = 35,799.30/163.06
  6. Step 6: Final answer
    x = 219.55

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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.