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Finding the Fourth Proportional to 183.69, 275.11 and 114.84

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Solution

The fourth proportional to 183.69, 275.11 and 114.84 is: 171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.69 : 275.11 = 114.84 : x
  2. Step 2: Convert to fraction form
    183.69/275.11 = 114.84/x
  3. Step 3: Cross multiply
    183.69x = 275.11 × 114.84
  4. Step 4: Simplify right side
    183.69x = 31,593.63
  5. Step 5: Solve for x
    x = 31,593.63/183.69
  6. Step 6: Final answer
    x = 171.99

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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.