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Finding the Fourth Proportional to 183.24, 274.86 and 119.52

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Solution

The fourth proportional to 183.24, 274.86 and 119.52 is: 179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.24 : 274.86 = 119.52 : x
  2. Step 2: Convert to fraction form
    183.24/274.86 = 119.52/x
  3. Step 3: Cross multiply
    183.24x = 274.86 × 119.52
  4. Step 4: Simplify right side
    183.24x = 32,851.27
  5. Step 5: Solve for x
    x = 32,851.27/183.24
  6. Step 6: Final answer
    x = 179.28

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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.