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Finding the Fourth Proportional to 367.99, 552.20 and 148.57

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Solution

The fourth proportional to 367.99, 552.20 and 148.57 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.99 : 552.20 = 148.57 : x
  2. Step 2: Convert to fraction form
    367.99/552.20 = 148.57/x
  3. Step 3: Cross multiply
    367.99x = 552.20 × 148.57
  4. Step 4: Simplify right side
    367.99x = 82,038.23
  5. Step 5: Solve for x
    x = 82,038.23/367.99
  6. Step 6: Final answer
    x = 222.94

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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.