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Finding the Fourth Proportional to 274.56, 410.94 and 183.12

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Solution

The fourth proportional to 274.56, 410.94 and 183.12 is: 274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.56 : 410.94 = 183.12 : x
  2. Step 2: Convert to fraction form
    274.56/410.94 = 183.12/x
  3. Step 3: Cross multiply
    274.56x = 410.94 × 183.12
  4. Step 4: Simplify right side
    274.56x = 75,251.33
  5. Step 5: Solve for x
    x = 75,251.33/274.56
  6. Step 6: Final answer
    x = 274.08

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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.