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Finding the Fourth Proportional to 367.53, 506.91 and 220.06

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Solution

The fourth proportional to 367.53, 506.91 and 220.06 is: 303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.53 : 506.91 = 220.06 : x
  2. Step 2: Convert to fraction form
    367.53/506.91 = 220.06/x
  3. Step 3: Cross multiply
    367.53x = 506.91 × 220.06
  4. Step 4: Simplify right side
    367.53x = 111,550.61
  5. Step 5: Solve for x
    x = 111,550.61/367.53
  6. Step 6: Final answer
    x = 303.51

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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.