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Finding the Fourth Proportional to 182.22, 251.19 and 116.70

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Solution

The fourth proportional to 182.22, 251.19 and 116.70 is: 160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.22 : 251.19 = 116.70 : x
  2. Step 2: Convert to fraction form
    182.22/251.19 = 116.70/x
  3. Step 3: Cross multiply
    182.22x = 251.19 × 116.70
  4. Step 4: Simplify right side
    182.22x = 29,313.87
  5. Step 5: Solve for x
    x = 29,313.87/182.22
  6. Step 6: Final answer
    x = 160.87

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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.