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Finding the Fourth Proportional to 278.56, 384.02 and 226.02

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Solution

The fourth proportional to 278.56, 384.02 and 226.02 is: 311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.56 : 384.02 = 226.02 : x
  2. Step 2: Convert to fraction form
    278.56/384.02 = 226.02/x
  3. Step 3: Cross multiply
    278.56x = 384.02 × 226.02
  4. Step 4: Simplify right side
    278.56x = 86,796.20
  5. Step 5: Solve for x
    x = 86,796.20/278.56
  6. Step 6: Final answer
    x = 311.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.