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Finding the Fourth Proportional to 255.09, 382.83 and 194.02

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Solution

The fourth proportional to 255.09, 382.83 and 194.02 is: 291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.09 : 382.83 = 194.02 : x
  2. Step 2: Convert to fraction form
    255.09/382.83 = 194.02/x
  3. Step 3: Cross multiply
    255.09x = 382.83 × 194.02
  4. Step 4: Simplify right side
    255.09x = 74,276.68
  5. Step 5: Solve for x
    x = 74,276.68/255.09
  6. Step 6: Final answer
    x = 291.18

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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.