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Finding the Fourth Proportional to 278.19, 416.52 and 200.73

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Solution

The fourth proportional to 278.19, 416.52 and 200.73 is: 300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.19 : 416.52 = 200.73 : x
  2. Step 2: Convert to fraction form
    278.19/416.52 = 200.73/x
  3. Step 3: Cross multiply
    278.19x = 416.52 × 200.73
  4. Step 4: Simplify right side
    278.19x = 83,608.06
  5. Step 5: Solve for x
    x = 83,608.06/278.19
  6. Step 6: Final answer
    x = 300.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.