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Finding the Fourth Proportional to 182.91, 251.98 and 126.84

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Solution

The fourth proportional to 182.91, 251.98 and 126.84 is: 174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.91 : 251.98 = 126.84 : x
  2. Step 2: Convert to fraction form
    182.91/251.98 = 126.84/x
  3. Step 3: Cross multiply
    182.91x = 251.98 × 126.84
  4. Step 4: Simplify right side
    182.91x = 31,961.14
  5. Step 5: Solve for x
    x = 31,961.14/182.91
  6. Step 6: Final answer
    x = 174.74

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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.