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Finding the Fourth Proportional to 273.57, 409.74 and 157.74

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Solution

The fourth proportional to 273.57, 409.74 and 157.74 is: 236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.57 : 409.74 = 157.74 : x
  2. Step 2: Convert to fraction form
    273.57/409.74 = 157.74/x
  3. Step 3: Cross multiply
    273.57x = 409.74 × 157.74
  4. Step 4: Simplify right side
    273.57x = 64,631.60
  5. Step 5: Solve for x
    x = 64,631.60/273.57
  6. Step 6: Final answer
    x = 236.25

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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.