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Finding the Fourth Proportional to 182.62, 251.93 and 116.19

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Solution

The fourth proportional to 182.62, 251.93 and 116.19 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.62 : 251.93 = 116.19 : x
  2. Step 2: Convert to fraction form
    182.62/251.93 = 116.19/x
  3. Step 3: Cross multiply
    182.62x = 251.93 × 116.19
  4. Step 4: Simplify right side
    182.62x = 29,272.67
  5. Step 5: Solve for x
    x = 29,272.67/182.62
  6. Step 6: Final answer
    x = 160.29

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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.