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Finding the Fourth Proportional to 182.44, 251.92 and 117.06

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Solution

The fourth proportional to 182.44, 251.92 and 117.06 is: 161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.44 : 251.92 = 117.06 : x
  2. Step 2: Convert to fraction form
    182.44/251.92 = 117.06/x
  3. Step 3: Cross multiply
    182.44x = 251.92 × 117.06
  4. Step 4: Simplify right side
    182.44x = 29,489.76
  5. Step 5: Solve for x
    x = 29,489.76/182.44
  6. Step 6: Final answer
    x = 161.64

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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.