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Finding the Fourth Proportional to 183.54, 275.06 and 92.18

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Solution

The fourth proportional to 183.54, 275.06 and 92.18 is: 138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.54 : 275.06 = 92.18 : x
  2. Step 2: Convert to fraction form
    183.54/275.06 = 92.18/x
  3. Step 3: Cross multiply
    183.54x = 275.06 × 92.18
  4. Step 4: Simplify right side
    183.54x = 25,355.03
  5. Step 5: Solve for x
    x = 25,355.03/183.54
  6. Step 6: Final answer
    x = 138.14

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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.