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Finding the Fourth Proportional to 181.80, 270.87 and 179.16

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Solution

The fourth proportional to 181.80, 270.87 and 179.16 is: 266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 270.87 = 179.16 : x
  2. Step 2: Convert to fraction form
    181.80/270.87 = 179.16/x
  3. Step 3: Cross multiply
    181.80x = 270.87 × 179.16
  4. Step 4: Simplify right side
    181.80x = 48,529.07
  5. Step 5: Solve for x
    x = 48,529.07/181.80
  6. Step 6: Final answer
    x = 266.94

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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.