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Finding the Fourth Proportional to 182.39, 251.63 and 112.43

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Solution

The fourth proportional to 182.39, 251.63 and 112.43 is: 155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.39 : 251.63 = 112.43 : x
  2. Step 2: Convert to fraction form
    182.39/251.63 = 112.43/x
  3. Step 3: Cross multiply
    182.39x = 251.63 × 112.43
  4. Step 4: Simplify right side
    182.39x = 28,290.83
  5. Step 5: Solve for x
    x = 28,290.83/182.39
  6. Step 6: Final answer
    x = 155.11

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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.