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Finding the Fourth Proportional to 182.31, 251.47 and 126.27

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Solution

The fourth proportional to 182.31, 251.47 and 126.27 is: 174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.31 : 251.47 = 126.27 : x
  2. Step 2: Convert to fraction form
    182.31/251.47 = 126.27/x
  3. Step 3: Cross multiply
    182.31x = 251.47 × 126.27
  4. Step 4: Simplify right side
    182.31x = 31,753.12
  5. Step 5: Solve for x
    x = 31,753.12/182.31
  6. Step 6: Final answer
    x = 174.17

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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.