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Finding the Fourth Proportional to 365.59, 548.28 and 180.41

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Solution

The fourth proportional to 365.59, 548.28 and 180.41 is: 270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.59 : 548.28 = 180.41 : x
  2. Step 2: Convert to fraction form
    365.59/548.28 = 180.41/x
  3. Step 3: Cross multiply
    365.59x = 548.28 × 180.41
  4. Step 4: Simplify right side
    365.59x = 98,912.45
  5. Step 5: Solve for x
    x = 98,912.45/365.59
  6. Step 6: Final answer
    x = 270.56

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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.