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Finding the Fourth Proportional to 182.34, 251.46 and 138.06

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Solution

The fourth proportional to 182.34, 251.46 and 138.06 is: 190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.34 : 251.46 = 138.06 : x
  2. Step 2: Convert to fraction form
    182.34/251.46 = 138.06/x
  3. Step 3: Cross multiply
    182.34x = 251.46 × 138.06
  4. Step 4: Simplify right side
    182.34x = 34,716.57
  5. Step 5: Solve for x
    x = 34,716.57/182.34
  6. Step 6: Final answer
    x = 190.39

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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.