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Finding the Fourth Proportional to 182.70, 252.27 and 144.06

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Solution

The fourth proportional to 182.70, 252.27 and 144.06 is: 198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.70 : 252.27 = 144.06 : x
  2. Step 2: Convert to fraction form
    182.70/252.27 = 144.06/x
  3. Step 3: Cross multiply
    182.70x = 252.27 × 144.06
  4. Step 4: Simplify right side
    182.70x = 36,342.02
  5. Step 5: Solve for x
    x = 36,342.02/182.70
  6. Step 6: Final answer
    x = 198.92

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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.