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Finding the Fourth Proportional to 182.06, 251.16 and 108.35

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Solution

The fourth proportional to 182.06, 251.16 and 108.35 is: 149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.06 : 251.16 = 108.35 : x
  2. Step 2: Convert to fraction form
    182.06/251.16 = 108.35/x
  3. Step 3: Cross multiply
    182.06x = 251.16 × 108.35
  4. Step 4: Simplify right side
    182.06x = 27,211.93
  5. Step 5: Solve for x
    x = 27,211.93/182.06
  6. Step 6: Final answer
    x = 149.47

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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.