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Finding the Fourth Proportional to 365.86, 549 and 149.44

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Solution

The fourth proportional to 365.86, 549 and 149.44 is: 224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.86 : 549 = 149.44 : x
  2. Step 2: Convert to fraction form
    365.86/549 = 149.44/x
  3. Step 3: Cross multiply
    365.86x = 549 × 149.44
  4. Step 4: Simplify right side
    365.86x = 82,042.56
  5. Step 5: Solve for x
    x = 82,042.56/365.86
  6. Step 6: Final answer
    x = 224.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.