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Finding the Fourth Proportional to 273.10, 409.68 and 119.08

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Solution

The fourth proportional to 273.10, 409.68 and 119.08 is: 178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.10 : 409.68 = 119.08 : x
  2. Step 2: Convert to fraction form
    273.10/409.68 = 119.08/x
  3. Step 3: Cross multiply
    273.10x = 409.68 × 119.08
  4. Step 4: Simplify right side
    273.10x = 48,784.69
  5. Step 5: Solve for x
    x = 48,784.69/273.10
  6. Step 6: Final answer
    x = 178.63

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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.