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Finding the Fourth Proportional to 181.80, 270.64 and 180.72

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Solution

The fourth proportional to 181.80, 270.64 and 180.72 is: 269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 270.64 = 180.72 : x
  2. Step 2: Convert to fraction form
    181.80/270.64 = 180.72/x
  3. Step 3: Cross multiply
    181.80x = 270.64 × 180.72
  4. Step 4: Simplify right side
    181.80x = 48,910.86
  5. Step 5: Solve for x
    x = 48,910.86/181.80
  6. Step 6: Final answer
    x = 269.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.