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Finding the Fourth Proportional to 183.04, 274.64 and 180.30

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Solution

The fourth proportional to 183.04, 274.64 and 180.30 is: 270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.04 : 274.64 = 180.30 : x
  2. Step 2: Convert to fraction form
    183.04/274.64 = 180.30/x
  3. Step 3: Cross multiply
    183.04x = 274.64 × 180.30
  4. Step 4: Simplify right side
    183.04x = 49,517.59
  5. Step 5: Solve for x
    x = 49,517.59/183.04
  6. Step 6: Final answer
    x = 270.53

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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.