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Finding the Fourth Proportional to 182.09, 251.28 and 116.61

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Solution

The fourth proportional to 182.09, 251.28 and 116.61 is: 160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.09 : 251.28 = 116.61 : x
  2. Step 2: Convert to fraction form
    182.09/251.28 = 116.61/x
  3. Step 3: Cross multiply
    182.09x = 251.28 × 116.61
  4. Step 4: Simplify right side
    182.09x = 29,301.76
  5. Step 5: Solve for x
    x = 29,301.76/182.09
  6. Step 6: Final answer
    x = 160.92

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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.