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Finding the Fourth Proportional to 275.20, 379.31 and 192.16

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Solution

The fourth proportional to 275.20, 379.31 and 192.16 is: 264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.20 : 379.31 = 192.16 : x
  2. Step 2: Convert to fraction form
    275.20/379.31 = 192.16/x
  3. Step 3: Cross multiply
    275.20x = 379.31 × 192.16
  4. Step 4: Simplify right side
    275.20x = 72,887.73
  5. Step 5: Solve for x
    x = 72,887.73/275.20
  6. Step 6: Final answer
    x = 264.86

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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.