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Finding the Fourth Proportional to 365.41, 548.34 and 189.73

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Solution

The fourth proportional to 365.41, 548.34 and 189.73 is: 284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.41 : 548.34 = 189.73 : x
  2. Step 2: Convert to fraction form
    365.41/548.34 = 189.73/x
  3. Step 3: Cross multiply
    365.41x = 548.34 × 189.73
  4. Step 4: Simplify right side
    365.41x = 104,032.86
  5. Step 5: Solve for x
    x = 104,032.86/365.41
  6. Step 6: Final answer
    x = 284.71

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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.