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Finding the Fourth Proportional to 278.21, 383.50 and 190.73

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Solution

The fourth proportional to 278.21, 383.50 and 190.73 is: 262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.21 : 383.50 = 190.73 : x
  2. Step 2: Convert to fraction form
    278.21/383.50 = 190.73/x
  3. Step 3: Cross multiply
    278.21x = 383.50 × 190.73
  4. Step 4: Simplify right side
    278.21x = 73,146.15
  5. Step 5: Solve for x
    x = 73,146.15/278.21
  6. Step 6: Final answer
    x = 262.91

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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.