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Finding the Fourth Proportional to 278.25, 418.32 and 217.50

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Solution

The fourth proportional to 278.25, 418.32 and 217.50 is: 326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.25 : 418.32 = 217.50 : x
  2. Step 2: Convert to fraction form
    278.25/418.32 = 217.50/x
  3. Step 3: Cross multiply
    278.25x = 418.32 × 217.50
  4. Step 4: Simplify right side
    278.25x = 90,984.60
  5. Step 5: Solve for x
    x = 90,984.60/278.25
  6. Step 6: Final answer
    x = 326.99

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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.