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Finding the Fourth Proportional to 183.04, 274.46 and 80.27

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Solution

The fourth proportional to 183.04, 274.46 and 80.27 is: 120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.04 : 274.46 = 80.27 : x
  2. Step 2: Convert to fraction form
    183.04/274.46 = 80.27/x
  3. Step 3: Cross multiply
    183.04x = 274.46 × 80.27
  4. Step 4: Simplify right side
    183.04x = 22,030.50
  5. Step 5: Solve for x
    x = 22,030.50/183.04
  6. Step 6: Final answer
    x = 120.36

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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.