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Finding the Fourth Proportional to 182.78, 252.24 and 143.49

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Solution

The fourth proportional to 182.78, 252.24 and 143.49 is: 198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.78 : 252.24 = 143.49 : x
  2. Step 2: Convert to fraction form
    182.78/252.24 = 143.49/x
  3. Step 3: Cross multiply
    182.78x = 252.24 × 143.49
  4. Step 4: Simplify right side
    182.78x = 36,193.92
  5. Step 5: Solve for x
    x = 36,193.92/182.78
  6. Step 6: Final answer
    x = 198.02

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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.