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Finding the Fourth Proportional to 182.19, 251.28 and 116.70

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Solution

The fourth proportional to 182.19, 251.28 and 116.70 is: 160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.19 : 251.28 = 116.70 : x
  2. Step 2: Convert to fraction form
    182.19/251.28 = 116.70/x
  3. Step 3: Cross multiply
    182.19x = 251.28 × 116.70
  4. Step 4: Simplify right side
    182.19x = 29,324.38
  5. Step 5: Solve for x
    x = 29,324.38/182.19
  6. Step 6: Final answer
    x = 160.95

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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.