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Finding the Fourth Proportional to 273.43, 377.32 and 149.09

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Solution

The fourth proportional to 273.43, 377.32 and 149.09 is: 205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.43 : 377.32 = 149.09 : x
  2. Step 2: Convert to fraction form
    273.43/377.32 = 149.09/x
  3. Step 3: Cross multiply
    273.43x = 377.32 × 149.09
  4. Step 4: Simplify right side
    273.43x = 56,254.83
  5. Step 5: Solve for x
    x = 56,254.83/273.43
  6. Step 6: Final answer
    x = 205.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.