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Finding the Fourth Proportional to 278.84, 418.30 and 96.37

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Solution

The fourth proportional to 278.84, 418.30 and 96.37 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 418.30 = 96.37 : x
  2. Step 2: Convert to fraction form
    278.84/418.30 = 96.37/x
  3. Step 3: Cross multiply
    278.84x = 418.30 × 96.37
  4. Step 4: Simplify right side
    278.84x = 40,310.28
  5. Step 5: Solve for x
    x = 40,310.28/278.84
  6. Step 6: Final answer
    x = 144.56

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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.