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Finding the Fourth Proportional to 183.20, 273.49 and 176.79

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Solution

The fourth proportional to 183.20, 273.49 and 176.79 is: 263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.20 : 273.49 = 176.79 : x
  2. Step 2: Convert to fraction form
    183.20/273.49 = 176.79/x
  3. Step 3: Cross multiply
    183.20x = 273.49 × 176.79
  4. Step 4: Simplify right side
    183.20x = 48,349.17
  5. Step 5: Solve for x
    x = 48,349.17/183.20
  6. Step 6: Final answer
    x = 263.92

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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.