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Finding the Fourth Proportional to 194.05, 290.84 and 102.69

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Solution

The fourth proportional to 194.05, 290.84 and 102.69 is: 153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.05 : 290.84 = 102.69 : x
  2. Step 2: Convert to fraction form
    194.05/290.84 = 102.69/x
  3. Step 3: Cross multiply
    194.05x = 290.84 × 102.69
  4. Step 4: Simplify right side
    194.05x = 29,866.42
  5. Step 5: Solve for x
    x = 29,866.42/194.05
  6. Step 6: Final answer
    x = 153.91

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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.