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Finding the Fourth Proportional to 184.94, 277.26 and 82.23

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Solution

The fourth proportional to 184.94, 277.26 and 82.23 is: 123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.94 : 277.26 = 82.23 : x
  2. Step 2: Convert to fraction form
    184.94/277.26 = 82.23/x
  3. Step 3: Cross multiply
    184.94x = 277.26 × 82.23
  4. Step 4: Simplify right side
    184.94x = 22,799.09
  5. Step 5: Solve for x
    x = 22,799.09/184.94
  6. Step 6: Final answer
    x = 123.28

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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.