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Finding the Fourth Proportional to 181.68, 271.92 and 178.80

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Solution

The fourth proportional to 181.68, 271.92 and 178.80 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.68 : 271.92 = 178.80 : x
  2. Step 2: Convert to fraction form
    181.68/271.92 = 178.80/x
  3. Step 3: Cross multiply
    181.68x = 271.92 × 178.80
  4. Step 4: Simplify right side
    181.68x = 48,619.30
  5. Step 5: Solve for x
    x = 48,619.30/181.68
  6. Step 6: Final answer
    x = 267.61

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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.