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Finding the Fourth Proportional to 183.92, 274.37 and 162.54

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Solution

The fourth proportional to 183.92, 274.37 and 162.54 is: 242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.92 : 274.37 = 162.54 : x
  2. Step 2: Convert to fraction form
    183.92/274.37 = 162.54/x
  3. Step 3: Cross multiply
    183.92x = 274.37 × 162.54
  4. Step 4: Simplify right side
    183.92x = 44,595.29
  5. Step 5: Solve for x
    x = 44,595.29/183.92
  6. Step 6: Final answer
    x = 242.48

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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.