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Finding the Fourth Proportional to 367.67, 551.12 and 148.24

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Solution

The fourth proportional to 367.67, 551.12 and 148.24 is: 222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.67 : 551.12 = 148.24 : x
  2. Step 2: Convert to fraction form
    367.67/551.12 = 148.24/x
  3. Step 3: Cross multiply
    367.67x = 551.12 × 148.24
  4. Step 4: Simplify right side
    367.67x = 81,694.53
  5. Step 5: Solve for x
    x = 81,694.53/367.67
  6. Step 6: Final answer
    x = 222.20

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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.