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Finding the Fourth Proportional to 273.38, 410.21 and 136.45

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Solution

The fourth proportional to 273.38, 410.21 and 136.45 is: 204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.38 : 410.21 = 136.45 : x
  2. Step 2: Convert to fraction form
    273.38/410.21 = 136.45/x
  3. Step 3: Cross multiply
    273.38x = 410.21 × 136.45
  4. Step 4: Simplify right side
    273.38x = 55,971.45
  5. Step 5: Solve for x
    x = 55,971.45/273.38
  6. Step 6: Final answer
    x = 204.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.