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Finding the Fourth Proportional to 185.20, 277.80 and 166.30

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Solution

The fourth proportional to 185.20, 277.80 and 166.30 is: 249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.20 : 277.80 = 166.30 : x
  2. Step 2: Convert to fraction form
    185.20/277.80 = 166.30/x
  3. Step 3: Cross multiply
    185.20x = 277.80 × 166.30
  4. Step 4: Simplify right side
    185.20x = 46,198.14
  5. Step 5: Solve for x
    x = 46,198.14/185.20
  6. Step 6: Final answer
    x = 249.45

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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.