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Finding the Fourth Proportional to 273.02, 409.23 and 157.37

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Solution

The fourth proportional to 273.02, 409.23 and 157.37 is: 235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.02 : 409.23 = 157.37 : x
  2. Step 2: Convert to fraction form
    273.02/409.23 = 157.37/x
  3. Step 3: Cross multiply
    273.02x = 409.23 × 157.37
  4. Step 4: Simplify right side
    273.02x = 64,398.48
  5. Step 5: Solve for x
    x = 64,398.48/273.02
  6. Step 6: Final answer
    x = 235.88

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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.