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Finding the Fourth Proportional to 358.21, 494.06 and 226.99

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Solution

The fourth proportional to 358.21, 494.06 and 226.99 is: 313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.21 : 494.06 = 226.99 : x
  2. Step 2: Convert to fraction form
    358.21/494.06 = 226.99/x
  3. Step 3: Cross multiply
    358.21x = 494.06 × 226.99
  4. Step 4: Simplify right side
    358.21x = 112,146.68
  5. Step 5: Solve for x
    x = 112,146.68/358.21
  6. Step 6: Final answer
    x = 313.08

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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.