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Finding the Fourth Proportional to 182.98, 252.29 and 159.44

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Solution

The fourth proportional to 182.98, 252.29 and 159.44 is: 219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.98 : 252.29 = 159.44 : x
  2. Step 2: Convert to fraction form
    182.98/252.29 = 159.44/x
  3. Step 3: Cross multiply
    182.98x = 252.29 × 159.44
  4. Step 4: Simplify right side
    182.98x = 40,226.15
  5. Step 5: Solve for x
    x = 40,226.15/182.98
  6. Step 6: Final answer
    x = 219.84

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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.