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Finding the Fourth Proportional to 183.81, 275.69 and 75.56

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Solution

The fourth proportional to 183.81, 275.69 and 75.56 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.81 : 275.69 = 75.56 : x
  2. Step 2: Convert to fraction form
    183.81/275.69 = 75.56/x
  3. Step 3: Cross multiply
    183.81x = 275.69 × 75.56
  4. Step 4: Simplify right side
    183.81x = 20,831.14
  5. Step 5: Solve for x
    x = 20,831.14/183.81
  6. Step 6: Final answer
    x = 113.33

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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.