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Finding the Fourth Proportional to 255.12, 382.37 and 194.06

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Solution

The fourth proportional to 255.12, 382.37 and 194.06 is: 290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.12 : 382.37 = 194.06 : x
  2. Step 2: Convert to fraction form
    255.12/382.37 = 194.06/x
  3. Step 3: Cross multiply
    255.12x = 382.37 × 194.06
  4. Step 4: Simplify right side
    255.12x = 74,202.71
  5. Step 5: Solve for x
    x = 74,202.71/255.12
  6. Step 6: Final answer
    x = 290.86

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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.