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Finding the Fourth Proportional to 182.37, 251.64 and 116.88

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Solution

The fourth proportional to 182.37, 251.64 and 116.88 is: 161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.37 : 251.64 = 116.88 : x
  2. Step 2: Convert to fraction form
    182.37/251.64 = 116.88/x
  3. Step 3: Cross multiply
    182.37x = 251.64 × 116.88
  4. Step 4: Simplify right side
    182.37x = 29,410.43
  5. Step 5: Solve for x
    x = 29,410.43/182.37
  6. Step 6: Final answer
    x = 161.27

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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.