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Finding the Fourth Proportional to 165.06, 226.49 and 162.18

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Solution

The fourth proportional to 165.06, 226.49 and 162.18 is: 222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.06 : 226.49 = 162.18 : x
  2. Step 2: Convert to fraction form
    165.06/226.49 = 162.18/x
  3. Step 3: Cross multiply
    165.06x = 226.49 × 162.18
  4. Step 4: Simplify right side
    165.06x = 36,731.34
  5. Step 5: Solve for x
    x = 36,731.34/165.06
  6. Step 6: Final answer
    x = 222.53

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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.