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Finding the Fourth Proportional to 183.20, 273.10 and 175.92

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Solution

The fourth proportional to 183.20, 273.10 and 175.92 is: 262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.20 : 273.10 = 175.92 : x
  2. Step 2: Convert to fraction form
    183.20/273.10 = 175.92/x
  3. Step 3: Cross multiply
    183.20x = 273.10 × 175.92
  4. Step 4: Simplify right side
    183.20x = 48,043.75
  5. Step 5: Solve for x
    x = 48,043.75/183.20
  6. Step 6: Final answer
    x = 262.25

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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.