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Finding the Fourth Proportional to 183.80, 253.91 and 121.77

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Solution

The fourth proportional to 183.80, 253.91 and 121.77 is: 168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.80 : 253.91 = 121.77 : x
  2. Step 2: Convert to fraction form
    183.80/253.91 = 121.77/x
  3. Step 3: Cross multiply
    183.80x = 253.91 × 121.77
  4. Step 4: Simplify right side
    183.80x = 30,918.62
  5. Step 5: Solve for x
    x = 30,918.62/183.80
  6. Step 6: Final answer
    x = 168.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.