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Finding the Fourth Proportional to 278.92, 418.43 and 96.26

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Solution

The fourth proportional to 278.92, 418.43 and 96.26 is: 144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.92 : 418.43 = 96.26 : x
  2. Step 2: Convert to fraction form
    278.92/418.43 = 96.26/x
  3. Step 3: Cross multiply
    278.92x = 418.43 × 96.26
  4. Step 4: Simplify right side
    278.92x = 40,279.34
  5. Step 5: Solve for x
    x = 40,279.34/278.92
  6. Step 6: Final answer
    x = 144.41

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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.