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Finding the Fourth Proportional to 183.77, 275.21 and 92.34

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Solution

The fourth proportional to 183.77, 275.21 and 92.34 is: 138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.77 : 275.21 = 92.34 : x
  2. Step 2: Convert to fraction form
    183.77/275.21 = 92.34/x
  3. Step 3: Cross multiply
    183.77x = 275.21 × 92.34
  4. Step 4: Simplify right side
    183.77x = 25,412.43
  5. Step 5: Solve for x
    x = 25,412.43/183.77
  6. Step 6: Final answer
    x = 138.29

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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.