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Finding the Fourth Proportional to 183.60, 275.20 and 75.24

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Solution

The fourth proportional to 183.60, 275.20 and 75.24 is: 112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.60 : 275.20 = 75.24 : x
  2. Step 2: Convert to fraction form
    183.60/275.20 = 75.24/x
  3. Step 3: Cross multiply
    183.60x = 275.20 × 75.24
  4. Step 4: Simplify right side
    183.60x = 20,706.05
  5. Step 5: Solve for x
    x = 20,706.05/183.60
  6. Step 6: Final answer
    x = 112.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.