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Finding the Fourth Proportional to 182.38, 273.84 and 174.68

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Solution

The fourth proportional to 182.38, 273.84 and 174.68 is: 262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.38 : 273.84 = 174.68 : x
  2. Step 2: Convert to fraction form
    182.38/273.84 = 174.68/x
  3. Step 3: Cross multiply
    182.38x = 273.84 × 174.68
  4. Step 4: Simplify right side
    182.38x = 47,834.37
  5. Step 5: Solve for x
    x = 47,834.37/182.38
  6. Step 6: Final answer
    x = 262.28

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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.