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Finding the Fourth Proportional to 226.56, 312.40 and 184.99

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Solution

The fourth proportional to 226.56, 312.40 and 184.99 is: 255.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.56 : 312.40 = 184.99 : x
  2. Step 2: Convert to fraction form
    226.56/312.40 = 184.99/x
  3. Step 3: Cross multiply
    226.56x = 312.40 × 184.99
  4. Step 4: Simplify right side
    226.56x = 57,790.91
  5. Step 5: Solve for x
    x = 57,790.91/226.56
  6. Step 6: Final answer
    x = 255.08

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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.