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Finding the Fourth Proportional to 182.61, 251.96 and 112.75

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Solution

The fourth proportional to 182.61, 251.96 and 112.75 is: 155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.61 : 251.96 = 112.75 : x
  2. Step 2: Convert to fraction form
    182.61/251.96 = 112.75/x
  3. Step 3: Cross multiply
    182.61x = 251.96 × 112.75
  4. Step 4: Simplify right side
    182.61x = 28,408.14
  5. Step 5: Solve for x
    x = 28,408.14/182.61
  6. Step 6: Final answer
    x = 155.57

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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.