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Finding the Fourth Proportional to 273.06, 408.98 and 135.68

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Solution

The fourth proportional to 273.06, 408.98 and 135.68 is: 203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.06 : 408.98 = 135.68 : x
  2. Step 2: Convert to fraction form
    273.06/408.98 = 135.68/x
  3. Step 3: Cross multiply
    273.06x = 408.98 × 135.68
  4. Step 4: Simplify right side
    273.06x = 55,490.41
  5. Step 5: Solve for x
    x = 55,490.41/273.06
  6. Step 6: Final answer
    x = 203.22

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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.