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Finding the Fourth Proportional to 183.84, 273.60 and 177.36

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Solution

The fourth proportional to 183.84, 273.60 and 177.36 is: 263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.84 : 273.60 = 177.36 : x
  2. Step 2: Convert to fraction form
    183.84/273.60 = 177.36/x
  3. Step 3: Cross multiply
    183.84x = 273.60 × 177.36
  4. Step 4: Simplify right side
    183.84x = 48,525.70
  5. Step 5: Solve for x
    x = 48,525.70/183.84
  6. Step 6: Final answer
    x = 263.96

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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.