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Finding the Fourth Proportional to 273.67, 410.52 and 164.73

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Solution

The fourth proportional to 273.67, 410.52 and 164.73 is: 247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.67 : 410.52 = 164.73 : x
  2. Step 2: Convert to fraction form
    273.67/410.52 = 164.73/x
  3. Step 3: Cross multiply
    273.67x = 410.52 × 164.73
  4. Step 4: Simplify right side
    273.67x = 67,624.04
  5. Step 5: Solve for x
    x = 67,624.04/273.67
  6. Step 6: Final answer
    x = 247.10

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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.