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Finding the Fourth Proportional to 183.60, 273.78 and 177.66

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Solution

The fourth proportional to 183.60, 273.78 and 177.66 is: 264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.60 : 273.78 = 177.66 : x
  2. Step 2: Convert to fraction form
    183.60/273.78 = 177.66/x
  3. Step 3: Cross multiply
    183.60x = 273.78 × 177.66
  4. Step 4: Simplify right side
    183.60x = 48,639.75
  5. Step 5: Solve for x
    x = 48,639.75/183.60
  6. Step 6: Final answer
    x = 264.92

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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.