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Finding the Fourth Proportional to 278.81, 418.07 and 96.15

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Solution

The fourth proportional to 278.81, 418.07 and 96.15 is: 144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.81 : 418.07 = 96.15 : x
  2. Step 2: Convert to fraction form
    278.81/418.07 = 96.15/x
  3. Step 3: Cross multiply
    278.81x = 418.07 × 96.15
  4. Step 4: Simplify right side
    278.81x = 40,197.43
  5. Step 5: Solve for x
    x = 40,197.43/278.81
  6. Step 6: Final answer
    x = 144.17

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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.