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Finding the Fourth Proportional to 189.92, 262.14 and 182.06

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Solution

The fourth proportional to 189.92, 262.14 and 182.06 is: 251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.92 : 262.14 = 182.06 : x
  2. Step 2: Convert to fraction form
    189.92/262.14 = 182.06/x
  3. Step 3: Cross multiply
    189.92x = 262.14 × 182.06
  4. Step 4: Simplify right side
    189.92x = 47,725.21
  5. Step 5: Solve for x
    x = 47,725.21/189.92
  6. Step 6: Final answer
    x = 251.29

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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.