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Finding the Fourth Proportional to 273.51, 409.74 and 136.40

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Solution

The fourth proportional to 273.51, 409.74 and 136.40 is: 204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.51 : 409.74 = 136.40 : x
  2. Step 2: Convert to fraction form
    273.51/409.74 = 136.40/x
  3. Step 3: Cross multiply
    273.51x = 409.74 × 136.40
  4. Step 4: Simplify right side
    273.51x = 55,886.49
  5. Step 5: Solve for x
    x = 55,886.49/273.51
  6. Step 6: Final answer
    x = 204.33

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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.