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Finding the Fourth Proportional to 183.96, 274.37 and 160.61

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Solution

The fourth proportional to 183.96, 274.37 and 160.61 is: 239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.96 : 274.37 = 160.61 : x
  2. Step 2: Convert to fraction form
    183.96/274.37 = 160.61/x
  3. Step 3: Cross multiply
    183.96x = 274.37 × 160.61
  4. Step 4: Simplify right side
    183.96x = 44,064.39
  5. Step 5: Solve for x
    x = 44,064.39/183.96
  6. Step 6: Final answer
    x = 239.53

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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.