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Finding the Fourth Proportional to 181.86, 273.93 and 174.27

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Solution

The fourth proportional to 181.86, 273.93 and 174.27 is: 262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.86 : 273.93 = 174.27 : x
  2. Step 2: Convert to fraction form
    181.86/273.93 = 174.27/x
  3. Step 3: Cross multiply
    181.86x = 273.93 × 174.27
  4. Step 4: Simplify right side
    181.86x = 47,737.78
  5. Step 5: Solve for x
    x = 47,737.78/181.86
  6. Step 6: Final answer
    x = 262.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.