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Finding the Fourth Proportional to 278.64, 418.23 and 134.46

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Solution

The fourth proportional to 278.64, 418.23 and 134.46 is: 201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.64 : 418.23 = 134.46 : x
  2. Step 2: Convert to fraction form
    278.64/418.23 = 134.46/x
  3. Step 3: Cross multiply
    278.64x = 418.23 × 134.46
  4. Step 4: Simplify right side
    278.64x = 56,234.70
  5. Step 5: Solve for x
    x = 56,234.70/278.64
  6. Step 6: Final answer
    x = 201.82

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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.