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Finding the Fourth Proportional to 365.57, 548.49 and 149.21

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Solution

The fourth proportional to 365.57, 548.49 and 149.21 is: 223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.57 : 548.49 = 149.21 : x
  2. Step 2: Convert to fraction form
    365.57/548.49 = 149.21/x
  3. Step 3: Cross multiply
    365.57x = 548.49 × 149.21
  4. Step 4: Simplify right side
    365.57x = 81,840.19
  5. Step 5: Solve for x
    x = 81,840.19/365.57
  6. Step 6: Final answer
    x = 223.87

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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.