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Finding the Fourth Proportional to 275.44, 380.64 and 226.22

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Solution

The fourth proportional to 275.44, 380.64 and 226.22 is: 312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.44 : 380.64 = 226.22 : x
  2. Step 2: Convert to fraction form
    275.44/380.64 = 226.22/x
  3. Step 3: Cross multiply
    275.44x = 380.64 × 226.22
  4. Step 4: Simplify right side
    275.44x = 86,108.38
  5. Step 5: Solve for x
    x = 86,108.38/275.44
  6. Step 6: Final answer
    x = 312.62

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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.