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Finding the Fourth Proportional to 278.94, 419 and 207.22

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Solution

The fourth proportional to 278.94, 419 and 207.22 is: 311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.94 : 419 = 207.22 : x
  2. Step 2: Convert to fraction form
    278.94/419 = 207.22/x
  3. Step 3: Cross multiply
    278.94x = 419 × 207.22
  4. Step 4: Simplify right side
    278.94x = 86,825.18
  5. Step 5: Solve for x
    x = 86,825.18/278.94
  6. Step 6: Final answer
    x = 311.27

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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.