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Finding the Fourth Proportional to 273.10, 376.90 and 226.40

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Solution

The fourth proportional to 273.10, 376.90 and 226.40 is: 312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.10 : 376.90 = 226.40 : x
  2. Step 2: Convert to fraction form
    273.10/376.90 = 226.40/x
  3. Step 3: Cross multiply
    273.10x = 376.90 × 226.40
  4. Step 4: Simplify right side
    273.10x = 85,328.98
  5. Step 5: Solve for x
    x = 85,328.98/273.10
  6. Step 6: Final answer
    x = 312.45

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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.