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Finding the Fourth Proportional to 183.79, 275.89 and 115.14

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Solution

The fourth proportional to 183.79, 275.89 and 115.14 is: 172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.79 : 275.89 = 115.14 : x
  2. Step 2: Convert to fraction form
    183.79/275.89 = 115.14/x
  3. Step 3: Cross multiply
    183.79x = 275.89 × 115.14
  4. Step 4: Simplify right side
    183.79x = 31,765.97
  5. Step 5: Solve for x
    x = 31,765.97/183.79
  6. Step 6: Final answer
    x = 172.84

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Why These Related Problems?

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