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Finding the Fourth Proportional to 273.65, 410.67 and 201.56

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Solution

The fourth proportional to 273.65, 410.67 and 201.56 is: 302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.65 : 410.67 = 201.56 : x
  2. Step 2: Convert to fraction form
    273.65/410.67 = 201.56/x
  3. Step 3: Cross multiply
    273.65x = 410.67 × 201.56
  4. Step 4: Simplify right side
    273.65x = 82,772.59
  5. Step 5: Solve for x
    x = 82,772.59/273.65
  6. Step 6: Final answer
    x = 302.48

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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.