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Finding the Fourth Proportional to 278.73, 417.96 and 105.27

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Solution

The fourth proportional to 278.73, 417.96 and 105.27 is: 157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.73 : 417.96 = 105.27 : x
  2. Step 2: Convert to fraction form
    278.73/417.96 = 105.27/x
  3. Step 3: Cross multiply
    278.73x = 417.96 × 105.27
  4. Step 4: Simplify right side
    278.73x = 43,998.65
  5. Step 5: Solve for x
    x = 43,998.65/278.73
  6. Step 6: Final answer
    x = 157.85

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