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Finding the Fourth Proportional to 273.66, 410.07 and 182.03

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Solution

The fourth proportional to 273.66, 410.07 and 182.03 is: 272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.66 : 410.07 = 182.03 : x
  2. Step 2: Convert to fraction form
    273.66/410.07 = 182.03/x
  3. Step 3: Cross multiply
    273.66x = 410.07 × 182.03
  4. Step 4: Simplify right side
    273.66x = 74,642.99
  5. Step 5: Solve for x
    x = 74,642.99/273.66
  6. Step 6: Final answer
    x = 272.76

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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.