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Finding the Fourth Proportional to 278.84, 418.25 and 96.25

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Solution

The fourth proportional to 278.84, 418.25 and 96.25 is: 144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 418.25 = 96.25 : x
  2. Step 2: Convert to fraction form
    278.84/418.25 = 96.25/x
  3. Step 3: Cross multiply
    278.84x = 418.25 × 96.25
  4. Step 4: Simplify right side
    278.84x = 40,255.04
  5. Step 5: Solve for x
    x = 40,255.04/278.84
  6. Step 6: Final answer
    x = 144.37

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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.