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Finding the Fourth Proportional to 275.44, 380.09 and 164.89

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Solution

The fourth proportional to 275.44, 380.09 and 164.89 is: 227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.44 : 380.09 = 164.89 : x
  2. Step 2: Convert to fraction form
    275.44/380.09 = 164.89/x
  3. Step 3: Cross multiply
    275.44x = 380.09 × 164.89
  4. Step 4: Simplify right side
    275.44x = 62,673.62
  5. Step 5: Solve for x
    x = 62,673.62/275.44
  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.