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Finding the Fourth Proportional to 253.08, 378.74 and 226.08

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Solution

The fourth proportional to 253.08, 378.74 and 226.08 is: 338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.08 : 378.74 = 226.08 : x
  2. Step 2: Convert to fraction form
    253.08/378.74 = 226.08/x
  3. Step 3: Cross multiply
    253.08x = 378.74 × 226.08
  4. Step 4: Simplify right side
    253.08x = 85,625.54
  5. Step 5: Solve for x
    x = 85,625.54/253.08
  6. Step 6: Final answer
    x = 338.33

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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.