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Finding the Fourth Proportional to 273.76, 409.70 and 213.17

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Solution

The fourth proportional to 273.76, 409.70 and 213.17 is: 319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.76 : 409.70 = 213.17 : x
  2. Step 2: Convert to fraction form
    273.76/409.70 = 213.17/x
  3. Step 3: Cross multiply
    273.76x = 409.70 × 213.17
  4. Step 4: Simplify right side
    273.76x = 87,334.23
  5. Step 5: Solve for x
    x = 87,334.23/273.76
  6. Step 6: Final answer
    x = 319.02

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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.