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Finding the Fourth Proportional to 278.85, 418.29 and 96.22

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Solution

The fourth proportional to 278.85, 418.29 and 96.22 is: 144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.85 : 418.29 = 96.22 : x
  2. Step 2: Convert to fraction form
    278.85/418.29 = 96.22/x
  3. Step 3: Cross multiply
    278.85x = 418.29 × 96.22
  4. Step 4: Simplify right side
    278.85x = 40,245.77
  5. Step 5: Solve for x
    x = 40,245.77/278.85
  6. Step 6: Final answer
    x = 144.33

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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.