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Finding the Fourth Proportional to 220.23, 303.93 and 164.88

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Solution

The fourth proportional to 220.23, 303.93 and 164.88 is: 227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.23 : 303.93 = 164.88 : x
  2. Step 2: Convert to fraction form
    220.23/303.93 = 164.88/x
  3. Step 3: Cross multiply
    220.23x = 303.93 × 164.88
  4. Step 4: Simplify right side
    220.23x = 50,111.98
  5. Step 5: Solve for x
    x = 50,111.98/220.23
  6. Step 6: Final answer
    x = 227.54

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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.