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Finding the Fourth Proportional to 185.78, 278.30 and 166.61

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Solution

The fourth proportional to 185.78, 278.30 and 166.61 is: 249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.78 : 278.30 = 166.61 : x
  2. Step 2: Convert to fraction form
    185.78/278.30 = 166.61/x
  3. Step 3: Cross multiply
    185.78x = 278.30 × 166.61
  4. Step 4: Simplify right side
    185.78x = 46,365.34
  5. Step 5: Solve for x
    x = 46,365.34/185.78
  6. Step 6: Final answer
    x = 249.58

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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.