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Finding the Fourth Proportional to 275.39, 379.89 and 164.83

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Solution

The fourth proportional to 275.39, 379.89 and 164.83 is: 227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.39 : 379.89 = 164.83 : x
  2. Step 2: Convert to fraction form
    275.39/379.89 = 164.83/x
  3. Step 3: Cross multiply
    275.39x = 379.89 × 164.83
  4. Step 4: Simplify right side
    275.39x = 62,618.36
  5. Step 5: Solve for x
    x = 62,618.36/275.39
  6. Step 6: Final answer
    x = 227.38

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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.