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Finding the Fourth Proportional to 367.37, 506.95 and 219.93

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Solution

The fourth proportional to 367.37, 506.95 and 219.93 is: 303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.37 : 506.95 = 219.93 : x
  2. Step 2: Convert to fraction form
    367.37/506.95 = 219.93/x
  3. Step 3: Cross multiply
    367.37x = 506.95 × 219.93
  4. Step 4: Simplify right side
    367.37x = 111,493.51
  5. Step 5: Solve for x
    x = 111,493.51/367.37
  6. Step 6: Final answer
    x = 303.49

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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.