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Finding the Fourth Proportional to 275.31, 379.86 and 164.84

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Solution

The fourth proportional to 275.31, 379.86 and 164.84 is: 227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.31 : 379.86 = 164.84 : x
  2. Step 2: Convert to fraction form
    275.31/379.86 = 164.84/x
  3. Step 3: Cross multiply
    275.31x = 379.86 × 164.84
  4. Step 4: Simplify right side
    275.31x = 62,614.22
  5. Step 5: Solve for x
    x = 62,614.22/275.31
  6. Step 6: Final answer
    x = 227.43

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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.