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Finding the Fourth Proportional to 182.62, 251.42 and 159.60

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Solution

The fourth proportional to 182.62, 251.42 and 159.60 is: 219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.62 : 251.42 = 159.60 : x
  2. Step 2: Convert to fraction form
    182.62/251.42 = 159.60/x
  3. Step 3: Cross multiply
    182.62x = 251.42 × 159.60
  4. Step 4: Simplify right side
    182.62x = 40,126.63
  5. Step 5: Solve for x
    x = 40,126.63/182.62
  6. Step 6: Final answer
    x = 219.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.