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Finding the Fourth Proportional to 255.98, 352.63 and 185.83

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Solution

The fourth proportional to 255.98, 352.63 and 185.83 is: 255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.98 : 352.63 = 185.83 : x
  2. Step 2: Convert to fraction form
    255.98/352.63 = 185.83/x
  3. Step 3: Cross multiply
    255.98x = 352.63 × 185.83
  4. Step 4: Simplify right side
    255.98x = 65,529.23
  5. Step 5: Solve for x
    x = 65,529.23/255.98
  6. Step 6: Final answer
    x = 255.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.