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Finding the Fourth Proportional to 273.49, 410.19 and 127.24

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Solution

The fourth proportional to 273.49, 410.19 and 127.24 is: 190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.49 : 410.19 = 127.24 : x
  2. Step 2: Convert to fraction form
    273.49/410.19 = 127.24/x
  3. Step 3: Cross multiply
    273.49x = 410.19 × 127.24
  4. Step 4: Simplify right side
    273.49x = 52,191.07
  5. Step 5: Solve for x
    x = 52,191.07/273.49
  6. Step 6: Final answer
    x = 190.84

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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.