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Finding the Fourth Proportional to 183.29, 275.97 and 161.76

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Solution

The fourth proportional to 183.29, 275.97 and 161.76 is: 243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.29 : 275.97 = 161.76 : x
  2. Step 2: Convert to fraction form
    183.29/275.97 = 161.76/x
  3. Step 3: Cross multiply
    183.29x = 275.97 × 161.76
  4. Step 4: Simplify right side
    183.29x = 44,640.91
  5. Step 5: Solve for x
    x = 44,640.91/183.29
  6. Step 6: Final answer
    x = 243.55

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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.