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Finding the Fourth Proportional to 182.63, 250.49 and 160.76

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Solution

The fourth proportional to 182.63, 250.49 and 160.76 is: 220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.63 : 250.49 = 160.76 : x
  2. Step 2: Convert to fraction form
    182.63/250.49 = 160.76/x
  3. Step 3: Cross multiply
    182.63x = 250.49 × 160.76
  4. Step 4: Simplify right side
    182.63x = 40,266.72
  5. Step 5: Solve for x
    x = 40,266.72/182.63
  6. Step 6: Final answer
    x = 220.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.