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Finding the Fourth Proportional to 365.84, 548.91 and 149.44

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Solution

The fourth proportional to 365.84, 548.91 and 149.44 is: 224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.84 : 548.91 = 149.44 : x
  2. Step 2: Convert to fraction form
    365.84/548.91 = 149.44/x
  3. Step 3: Cross multiply
    365.84x = 548.91 × 149.44
  4. Step 4: Simplify right side
    365.84x = 82,027.74
  5. Step 5: Solve for x
    x = 82,027.74/365.84
  6. Step 6: Final answer
    x = 224.22

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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.