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Finding the Fourth Proportional to 273.24, 409.80 and 78.22

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Solution

The fourth proportional to 273.24, 409.80 and 78.22 is: 117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.24 : 409.80 = 78.22 : x
  2. Step 2: Convert to fraction form
    273.24/409.80 = 78.22/x
  3. Step 3: Cross multiply
    273.24x = 409.80 × 78.22
  4. Step 4: Simplify right side
    273.24x = 32,054.56
  5. Step 5: Solve for x
    x = 32,054.56/273.24
  6. Step 6: Final answer
    x = 117.31

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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.