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Finding the Fourth Proportional to 183.02, 274.56 and 80.30

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Solution

The fourth proportional to 183.02, 274.56 and 80.30 is: 120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.02 : 274.56 = 80.30 : x
  2. Step 2: Convert to fraction form
    183.02/274.56 = 80.30/x
  3. Step 3: Cross multiply
    183.02x = 274.56 × 80.30
  4. Step 4: Simplify right side
    183.02x = 22,045.39
  5. Step 5: Solve for x
    x = 22,045.39/183.02
  6. Step 6: Final answer
    x = 120.45

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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.