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Finding the Fourth Proportional to 365.86, 548.48 and 149.29

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Solution

The fourth proportional to 365.86, 548.48 and 149.29 is: 223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.86 : 548.48 = 149.29 : x
  2. Step 2: Convert to fraction form
    365.86/548.48 = 149.29/x
  3. Step 3: Cross multiply
    365.86x = 548.48 × 149.29
  4. Step 4: Simplify right side
    365.86x = 81,879.09
  5. Step 5: Solve for x
    x = 81,879.09/365.86
  6. Step 6: Final answer
    x = 223.80

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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.