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Finding the Fourth Proportional to 275.37, 379.85 and 192.33

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Solution

The fourth proportional to 275.37, 379.85 and 192.33 is: 265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.37 : 379.85 = 192.33 : x
  2. Step 2: Convert to fraction form
    275.37/379.85 = 192.33/x
  3. Step 3: Cross multiply
    275.37x = 379.85 × 192.33
  4. Step 4: Simplify right side
    275.37x = 73,056.55
  5. Step 5: Solve for x
    x = 73,056.55/275.37
  6. Step 6: Final answer
    x = 265.30

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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.