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Finding the Fourth Proportional to 194.12, 290.84 and 102.61

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Solution

The fourth proportional to 194.12, 290.84 and 102.61 is: 153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.12 : 290.84 = 102.61 : x
  2. Step 2: Convert to fraction form
    194.12/290.84 = 102.61/x
  3. Step 3: Cross multiply
    194.12x = 290.84 × 102.61
  4. Step 4: Simplify right side
    194.12x = 29,843.31
  5. Step 5: Solve for x
    x = 29,843.31/194.12
  6. Step 6: Final answer
    x = 153.74

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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.