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Finding the Fourth Proportional to 185.81, 278.50 and 83

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Solution

The fourth proportional to 185.81, 278.50 and 83 is: 124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.81 : 278.50 = 83 : x
  2. Step 2: Convert to fraction form
    185.81/278.50 = 83/x
  3. Step 3: Cross multiply
    185.81x = 278.50 × 83
  4. Step 4: Simplify right side
    185.81x = 23,115.09
  5. Step 5: Solve for x
    x = 23,115.09/185.81
  6. Step 6: Final answer
    x = 124.41

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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.