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Finding the Fourth Proportional to 185.26, 278.02 and 75.66

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Solution

The fourth proportional to 185.26, 278.02 and 75.66 is: 113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.26 : 278.02 = 75.66 : x
  2. Step 2: Convert to fraction form
    185.26/278.02 = 75.66/x
  3. Step 3: Cross multiply
    185.26x = 278.02 × 75.66
  4. Step 4: Simplify right side
    185.26x = 21,034.99
  5. Step 5: Solve for x
    x = 21,034.99/185.26
  6. Step 6: Final answer
    x = 113.54

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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.