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Finding the Fourth Proportional to 220.01, 303.84 and 166.75

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Solution

The fourth proportional to 220.01, 303.84 and 166.75 is: 230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.01 : 303.84 = 166.75 : x
  2. Step 2: Convert to fraction form
    220.01/303.84 = 166.75/x
  3. Step 3: Cross multiply
    220.01x = 303.84 × 166.75
  4. Step 4: Simplify right side
    220.01x = 50,664.56
  5. Step 5: Solve for x
    x = 50,664.56/220.01
  6. Step 6: Final answer
    x = 230.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.