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Finding the Fourth Proportional to 365.94, 548.89 and 92.03

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Solution

The fourth proportional to 365.94, 548.89 and 92.03 is: 138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.94 : 548.89 = 92.03 : x
  2. Step 2: Convert to fraction form
    365.94/548.89 = 92.03/x
  3. Step 3: Cross multiply
    365.94x = 548.89 × 92.03
  4. Step 4: Simplify right side
    365.94x = 50,514.35
  5. Step 5: Solve for x
    x = 50,514.35/365.94
  6. Step 6: Final answer
    x = 138.04

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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.