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Finding the Fourth Proportional to 273.30, 410.05 and 119.14

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Solution

The fourth proportional to 273.30, 410.05 and 119.14 is: 178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.30 : 410.05 = 119.14 : x
  2. Step 2: Convert to fraction form
    273.30/410.05 = 119.14/x
  3. Step 3: Cross multiply
    273.30x = 410.05 × 119.14
  4. Step 4: Simplify right side
    273.30x = 48,852.48
  5. Step 5: Solve for x
    x = 48,852.48/273.30
  6. Step 6: Final answer
    x = 178.75

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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.