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Finding the Fourth Proportional to 240.26, 360.52 and 185.54

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Solution

The fourth proportional to 240.26, 360.52 and 185.54 is: 278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.26 : 360.52 = 185.54 : x
  2. Step 2: Convert to fraction form
    240.26/360.52 = 185.54/x
  3. Step 3: Cross multiply
    240.26x = 360.52 × 185.54
  4. Step 4: Simplify right side
    240.26x = 66,890.88
  5. Step 5: Solve for x
    x = 66,890.88/240.26
  6. Step 6: Final answer
    x = 278.41

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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.