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Finding the Fourth Proportional to 278.82, 386.37 and 275.34

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Solution

The fourth proportional to 278.82, 386.37 and 275.34 is: 381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.82 : 386.37 = 275.34 : x
  2. Step 2: Convert to fraction form
    278.82/386.37 = 275.34/x
  3. Step 3: Cross multiply
    278.82x = 386.37 × 275.34
  4. Step 4: Simplify right side
    278.82x = 106,383.12
  5. Step 5: Solve for x
    x = 106,383.12/278.82
  6. Step 6: Final answer
    x = 381.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.