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Finding the Fourth Proportional to 275.14, 379.77 and 164.64

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Solution

The fourth proportional to 275.14, 379.77 and 164.64 is: 227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.14 : 379.77 = 164.64 : x
  2. Step 2: Convert to fraction form
    275.14/379.77 = 164.64/x
  3. Step 3: Cross multiply
    275.14x = 379.77 × 164.64
  4. Step 4: Simplify right side
    275.14x = 62,525.33
  5. Step 5: Solve for x
    x = 62,525.33/275.14
  6. Step 6: Final answer
    x = 227.25

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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.