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Finding the Fourth Proportional to 273.35, 409.87 and 97.57

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Solution

The fourth proportional to 273.35, 409.87 and 97.57 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.35 : 409.87 = 97.57 : x
  2. Step 2: Convert to fraction form
    273.35/409.87 = 97.57/x
  3. Step 3: Cross multiply
    273.35x = 409.87 × 97.57
  4. Step 4: Simplify right side
    273.35x = 39,991.02
  5. Step 5: Solve for x
    x = 39,991.02/273.35
  6. Step 6: Final answer
    x = 146.30

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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.