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Finding the Fourth Proportional to 273.31, 377.17 and 148.97

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Solution

The fourth proportional to 273.31, 377.17 and 148.97 is: 205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.31 : 377.17 = 148.97 : x
  2. Step 2: Convert to fraction form
    273.31/377.17 = 148.97/x
  3. Step 3: Cross multiply
    273.31x = 377.17 × 148.97
  4. Step 4: Simplify right side
    273.31x = 56,187.01
  5. Step 5: Solve for x
    x = 56,187.01/273.31
  6. Step 6: Final answer
    x = 205.58

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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.