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Finding the Fourth Proportional to 278.14, 416.64 and 226.96

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Solution

The fourth proportional to 278.14, 416.64 and 226.96 is: 339.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.14 : 416.64 = 226.96 : x
  2. Step 2: Convert to fraction form
    278.14/416.64 = 226.96/x
  3. Step 3: Cross multiply
    278.14x = 416.64 × 226.96
  4. Step 4: Simplify right side
    278.14x = 94,560.61
  5. Step 5: Solve for x
    x = 94,560.61/278.14
  6. Step 6: Final answer
    x = 339.97

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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.