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Finding the Fourth Proportional to 181.91, 273.02 and 178.34

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Solution

The fourth proportional to 181.91, 273.02 and 178.34 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.91 : 273.02 = 178.34 : x
  2. Step 2: Convert to fraction form
    181.91/273.02 = 178.34/x
  3. Step 3: Cross multiply
    181.91x = 273.02 × 178.34
  4. Step 4: Simplify right side
    181.91x = 48,688.13
  5. Step 5: Solve for x
    x = 48,688.13/181.91
  6. Step 6: Final answer
    x = 267.66

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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.