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Finding the Fourth Proportional to 273.14, 376.92 and 148.80

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Solution

The fourth proportional to 273.14, 376.92 and 148.80 is: 205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.14 : 376.92 = 148.80 : x
  2. Step 2: Convert to fraction form
    273.14/376.92 = 148.80/x
  3. Step 3: Cross multiply
    273.14x = 376.92 × 148.80
  4. Step 4: Simplify right side
    273.14x = 56,085.70
  5. Step 5: Solve for x
    x = 56,085.70/273.14
  6. Step 6: Final answer
    x = 205.34

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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.