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Finding the Fourth Proportional to 278.67, 418.05 and 105.33

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Solution

The fourth proportional to 278.67, 418.05 and 105.33 is: 158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.67 : 418.05 = 105.33 : x
  2. Step 2: Convert to fraction form
    278.67/418.05 = 105.33/x
  3. Step 3: Cross multiply
    278.67x = 418.05 × 105.33
  4. Step 4: Simplify right side
    278.67x = 44,033.21
  5. Step 5: Solve for x
    x = 44,033.21/278.67
  6. Step 6: Final answer
    x = 158.01

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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.