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Finding the Fourth Proportional to 182.56, 252.06 and 143.62

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Solution

The fourth proportional to 182.56, 252.06 and 143.62 is: 198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.56 : 252.06 = 143.62 : x
  2. Step 2: Convert to fraction form
    182.56/252.06 = 143.62/x
  3. Step 3: Cross multiply
    182.56x = 252.06 × 143.62
  4. Step 4: Simplify right side
    182.56x = 36,200.86
  5. Step 5: Solve for x
    x = 36,200.86/182.56
  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.