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Finding the Fourth Proportional to 181.92, 250.32 and 138

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Solution

The fourth proportional to 181.92, 250.32 and 138 is: 189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.92 : 250.32 = 138 : x
  2. Step 2: Convert to fraction form
    181.92/250.32 = 138/x
  3. Step 3: Cross multiply
    181.92x = 250.32 × 138
  4. Step 4: Simplify right side
    181.92x = 34,544.16
  5. Step 5: Solve for x
    x = 34,544.16/181.92
  6. Step 6: Final answer
    x = 189.89

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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.