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Finding the Fourth Proportional to 273.20, 409.07 and 186.32

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Solution

The fourth proportional to 273.20, 409.07 and 186.32 is: 278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.20 : 409.07 = 186.32 : x
  2. Step 2: Convert to fraction form
    273.20/409.07 = 186.32/x
  3. Step 3: Cross multiply
    273.20x = 409.07 × 186.32
  4. Step 4: Simplify right side
    273.20x = 76,214.95
  5. Step 5: Solve for x
    x = 76,214.95/273.20
  6. Step 6: Final answer
    x = 278.98

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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.