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Finding the Fourth Proportional to 273.34, 409.19 and 164.80

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Solution

The fourth proportional to 273.34, 409.19 and 164.80 is: 246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.34 : 409.19 = 164.80 : x
  2. Step 2: Convert to fraction form
    273.34/409.19 = 164.80/x
  3. Step 3: Cross multiply
    273.34x = 409.19 × 164.80
  4. Step 4: Simplify right side
    273.34x = 67,432.47
  5. Step 5: Solve for x
    x = 67,432.47/273.34
  6. Step 6: Final answer
    x = 246.70

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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.