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Finding the Fourth Proportional to 182.66, 251.92 and 143.78

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Solution

The fourth proportional to 182.66, 251.92 and 143.78 is: 198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.66 : 251.92 = 143.78 : x
  2. Step 2: Convert to fraction form
    182.66/251.92 = 143.78/x
  3. Step 3: Cross multiply
    182.66x = 251.92 × 143.78
  4. Step 4: Simplify right side
    182.66x = 36,221.06
  5. Step 5: Solve for x
    x = 36,221.06/182.66
  6. Step 6: Final answer
    x = 198.30

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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.