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Finding the Fourth Proportional to 181.80, 250.68 and 138.24

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Solution

The fourth proportional to 181.80, 250.68 and 138.24 is: 190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 250.68 = 138.24 : x
  2. Step 2: Convert to fraction form
    181.80/250.68 = 138.24/x
  3. Step 3: Cross multiply
    181.80x = 250.68 × 138.24
  4. Step 4: Simplify right side
    181.80x = 34,654.00
  5. Step 5: Solve for x
    x = 34,654.00/181.80
  6. Step 6: Final answer
    x = 190.62

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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.