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Finding the Fourth Proportional to 273.25, 409.90 and 90.64

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Solution

The fourth proportional to 273.25, 409.90 and 90.64 is: 135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.25 : 409.90 = 90.64 : x
  2. Step 2: Convert to fraction form
    273.25/409.90 = 90.64/x
  3. Step 3: Cross multiply
    273.25x = 409.90 × 90.64
  4. Step 4: Simplify right side
    273.25x = 37,152.88
  5. Step 5: Solve for x
    x = 37,152.88/273.25
  6. Step 6: Final answer
    x = 135.97

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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.