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Finding the Fourth Proportional to 182.56, 274.20 and 182.56

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Solution

The fourth proportional to 182.56, 274.20 and 182.56 is: 274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.56 : 274.20 = 182.56 : x
  2. Step 2: Convert to fraction form
    182.56/274.20 = 182.56/x
  3. Step 3: Cross multiply
    182.56x = 274.20 × 182.56
  4. Step 4: Simplify right side
    182.56x = 50,057.95
  5. Step 5: Solve for x
    x = 50,057.95/182.56
  6. Step 6: Final answer
    x = 274.20

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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.