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Finding the Fourth Proportional to 365.23, 548.07 and 159.80

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Solution

The fourth proportional to 365.23, 548.07 and 159.80 is: 239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.23 : 548.07 = 159.80 : x
  2. Step 2: Convert to fraction form
    365.23/548.07 = 159.80/x
  3. Step 3: Cross multiply
    365.23x = 548.07 × 159.80
  4. Step 4: Simplify right side
    365.23x = 87,578.25
  5. Step 5: Solve for x
    x = 87,578.25/365.23
  6. Step 6: Final answer
    x = 239.79

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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.