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Finding the Fourth Proportional to 274.35, 410.75 and 182.87

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Solution

The fourth proportional to 274.35, 410.75 and 182.87 is: 273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.35 : 410.75 = 182.87 : x
  2. Step 2: Convert to fraction form
    274.35/410.75 = 182.87/x
  3. Step 3: Cross multiply
    274.35x = 410.75 × 182.87
  4. Step 4: Simplify right side
    274.35x = 75,113.85
  5. Step 5: Solve for x
    x = 75,113.85/274.35
  6. Step 6: Final answer
    x = 273.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.