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Finding the Fourth Proportional to 367.36, 550.14 and 205.06

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Solution

The fourth proportional to 367.36, 550.14 and 205.06 is: 307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.36 : 550.14 = 205.06 : x
  2. Step 2: Convert to fraction form
    367.36/550.14 = 205.06/x
  3. Step 3: Cross multiply
    367.36x = 550.14 × 205.06
  4. Step 4: Simplify right side
    367.36x = 112,811.71
  5. Step 5: Solve for x
    x = 112,811.71/367.36
  6. Step 6: Final answer
    x = 307.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.