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Finding the Fourth Proportional to 252.60, 376.74 and 226.68

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Solution

The fourth proportional to 252.60, 376.74 and 226.68 is: 338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.60 : 376.74 = 226.68 : x
  2. Step 2: Convert to fraction form
    252.60/376.74 = 226.68/x
  3. Step 3: Cross multiply
    252.60x = 376.74 × 226.68
  4. Step 4: Simplify right side
    252.60x = 85,399.42
  5. Step 5: Solve for x
    x = 85,399.42/252.60
  6. Step 6: Final answer
    x = 338.08

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Why These Related Problems?

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