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Finding the Fourth Proportional to 273.27, 409.58 and 157.48

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Solution

The fourth proportional to 273.27, 409.58 and 157.48 is: 236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.27 : 409.58 = 157.48 : x
  2. Step 2: Convert to fraction form
    273.27/409.58 = 157.48/x
  3. Step 3: Cross multiply
    273.27x = 409.58 × 157.48
  4. Step 4: Simplify right side
    273.27x = 64,500.90
  5. Step 5: Solve for x
    x = 64,500.90/273.27
  6. Step 6: Final answer
    x = 236.03

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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.