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Finding the Fourth Proportional to 181.59, 250.52 and 180.78

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Solution

The fourth proportional to 181.59, 250.52 and 180.78 is: 249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.59 : 250.52 = 180.78 : x
  2. Step 2: Convert to fraction form
    181.59/250.52 = 180.78/x
  3. Step 3: Cross multiply
    181.59x = 250.52 × 180.78
  4. Step 4: Simplify right side
    181.59x = 45,289.01
  5. Step 5: Solve for x
    x = 45,289.01/181.59
  6. Step 6: Final answer
    x = 249.40

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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.