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Finding the Fourth Proportional to 253.90, 378.91 and 226.57

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Solution

The fourth proportional to 253.90, 378.91 and 226.57 is: 338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.90 : 378.91 = 226.57 : x
  2. Step 2: Convert to fraction form
    253.90/378.91 = 226.57/x
  3. Step 3: Cross multiply
    253.90x = 378.91 × 226.57
  4. Step 4: Simplify right side
    253.90x = 85,849.64
  5. Step 5: Solve for x
    x = 85,849.64/253.90
  6. Step 6: Final answer
    x = 338.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.