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Finding the Fourth Proportional to 183.84, 274.52 and 166.80

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Solution

The fourth proportional to 183.84, 274.52 and 166.80 is: 249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.84 : 274.52 = 166.80 : x
  2. Step 2: Convert to fraction form
    183.84/274.52 = 166.80/x
  3. Step 3: Cross multiply
    183.84x = 274.52 × 166.80
  4. Step 4: Simplify right side
    183.84x = 45,789.10
  5. Step 5: Solve for x
    x = 45,789.10/183.84
  6. Step 6: Final answer
    x = 249.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.