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Finding the Fourth Proportional to 182.54, 251.89 and 107.85

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Solution

The fourth proportional to 182.54, 251.89 and 107.85 is: 148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.54 : 251.89 = 107.85 : x
  2. Step 2: Convert to fraction form
    182.54/251.89 = 107.85/x
  3. Step 3: Cross multiply
    182.54x = 251.89 × 107.85
  4. Step 4: Simplify right side
    182.54x = 27,166.34
  5. Step 5: Solve for x
    x = 27,166.34/182.54
  6. Step 6: Final answer
    x = 148.82

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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.