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Finding the Fourth Proportional to 226.60, 312.74 and 149

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Solution

The fourth proportional to 226.60, 312.74 and 149 is: 205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.60 : 312.74 = 149 : x
  2. Step 2: Convert to fraction form
    226.60/312.74 = 149/x
  3. Step 3: Cross multiply
    226.60x = 312.74 × 149
  4. Step 4: Simplify right side
    226.60x = 46,598.26
  5. Step 5: Solve for x
    x = 46,598.26/226.60
  6. Step 6: Final answer
    x = 205.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.