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Finding the Fourth Proportional to 181.49, 272.33 and 130.24

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Solution

The fourth proportional to 181.49, 272.33 and 130.24 is: 195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.49 : 272.33 = 130.24 : x
  2. Step 2: Convert to fraction form
    181.49/272.33 = 130.24/x
  3. Step 3: Cross multiply
    181.49x = 272.33 × 130.24
  4. Step 4: Simplify right side
    181.49x = 35,467.90
  5. Step 5: Solve for x
    x = 35,467.90/181.49
  6. Step 6: Final answer
    x = 195.42

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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.