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Finding the Fourth Proportional to 183.06, 276.05 and 178.56

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Solution

The fourth proportional to 183.06, 276.05 and 178.56 is: 269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.06 : 276.05 = 178.56 : x
  2. Step 2: Convert to fraction form
    183.06/276.05 = 178.56/x
  3. Step 3: Cross multiply
    183.06x = 276.05 × 178.56
  4. Step 4: Simplify right side
    183.06x = 49,291.93
  5. Step 5: Solve for x
    x = 49,291.93/183.06
  6. Step 6: Final answer
    x = 269.27

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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.