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Finding the Fourth Proportional to 181.52, 271.68 and 137.92

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Solution

The fourth proportional to 181.52, 271.68 and 137.92 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.52 : 271.68 = 137.92 : x
  2. Step 2: Convert to fraction form
    181.52/271.68 = 137.92/x
  3. Step 3: Cross multiply
    181.52x = 271.68 × 137.92
  4. Step 4: Simplify right side
    181.52x = 37,470.11
  5. Step 5: Solve for x
    x = 37,470.11/181.52
  6. Step 6: Final answer
    x = 206.42

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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.