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Finding the Fourth Proportional to 365.80, 548.97 and 180.98

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Solution

The fourth proportional to 365.80, 548.97 and 180.98 is: 271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.80 : 548.97 = 180.98 : x
  2. Step 2: Convert to fraction form
    365.80/548.97 = 180.98/x
  3. Step 3: Cross multiply
    365.80x = 548.97 × 180.98
  4. Step 4: Simplify right side
    365.80x = 99,352.59
  5. Step 5: Solve for x
    x = 99,352.59/365.80
  6. Step 6: Final answer
    x = 271.61

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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.