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Finding the Fourth Proportional to 183.52, 276.32 and 161.99

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Solution

The fourth proportional to 183.52, 276.32 and 161.99 is: 243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.52 : 276.32 = 161.99 : x
  2. Step 2: Convert to fraction form
    183.52/276.32 = 161.99/x
  3. Step 3: Cross multiply
    183.52x = 276.32 × 161.99
  4. Step 4: Simplify right side
    183.52x = 44,761.08
  5. Step 5: Solve for x
    x = 44,761.08/183.52
  6. Step 6: Final answer
    x = 243.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.