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Finding the Fourth Proportional to 273.09, 409.64 and 90.49

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Solution

The fourth proportional to 273.09, 409.64 and 90.49 is: 135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.09 : 409.64 = 90.49 : x
  2. Step 2: Convert to fraction form
    273.09/409.64 = 90.49/x
  3. Step 3: Cross multiply
    273.09x = 409.64 × 90.49
  4. Step 4: Simplify right side
    273.09x = 37,067.53
  5. Step 5: Solve for x
    x = 37,067.53/273.09
  6. Step 6: Final answer
    x = 135.73

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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.