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Finding the Fourth Proportional to 273.35, 410.33 and 163.91

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Solution

The fourth proportional to 273.35, 410.33 and 163.91 is: 246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.35 : 410.33 = 163.91 : x
  2. Step 2: Convert to fraction form
    273.35/410.33 = 163.91/x
  3. Step 3: Cross multiply
    273.35x = 410.33 × 163.91
  4. Step 4: Simplify right side
    273.35x = 67,258.63
  5. Step 5: Solve for x
    x = 67,258.63/273.35
  6. Step 6: Final answer
    x = 246.05

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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.