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Finding the Fourth Proportional to 273.30, 409.85 and 116.96

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Solution

The fourth proportional to 273.30, 409.85 and 116.96 is: 175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.30 : 409.85 = 116.96 : x
  2. Step 2: Convert to fraction form
    273.30/409.85 = 116.96/x
  3. Step 3: Cross multiply
    273.30x = 409.85 × 116.96
  4. Step 4: Simplify right side
    273.30x = 47,934.27
  5. Step 5: Solve for x
    x = 47,934.27/273.30
  6. Step 6: Final answer
    x = 175.39

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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.