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Finding the Fourth Proportional to 181.50, 272.37 and 138.22

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Solution

The fourth proportional to 181.50, 272.37 and 138.22 is: 207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.50 : 272.37 = 138.22 : x
  2. Step 2: Convert to fraction form
    181.50/272.37 = 138.22/x
  3. Step 3: Cross multiply
    181.50x = 272.37 × 138.22
  4. Step 4: Simplify right side
    181.50x = 37,646.98
  5. Step 5: Solve for x
    x = 37,646.98/181.50
  6. Step 6: Final answer
    x = 207.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.