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Finding the Fourth Proportional to 182.10, 251.29 and 103.42

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Solution

The fourth proportional to 182.10, 251.29 and 103.42 is: 142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.10 : 251.29 = 103.42 : x
  2. Step 2: Convert to fraction form
    182.10/251.29 = 103.42/x
  3. Step 3: Cross multiply
    182.10x = 251.29 × 103.42
  4. Step 4: Simplify right side
    182.10x = 25,987.53
  5. Step 5: Solve for x
    x = 25,987.53/182.10
  6. Step 6: Final answer
    x = 142.71

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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.