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Finding the Fourth Proportional to 185.21, 277.80 and 82.46

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Solution

The fourth proportional to 185.21, 277.80 and 82.46 is: 123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.21 : 277.80 = 82.46 : x
  2. Step 2: Convert to fraction form
    185.21/277.80 = 82.46/x
  3. Step 3: Cross multiply
    185.21x = 277.80 × 82.46
  4. Step 4: Simplify right side
    185.21x = 22,907.39
  5. Step 5: Solve for x
    x = 22,907.39/185.21
  6. Step 6: Final answer
    x = 123.68

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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.