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Finding the Fourth Proportional to 194.39, 291.46 and 142.96

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Solution

The fourth proportional to 194.39, 291.46 and 142.96 is: 214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.39 : 291.46 = 142.96 : x
  2. Step 2: Convert to fraction form
    194.39/291.46 = 142.96/x
  3. Step 3: Cross multiply
    194.39x = 291.46 × 142.96
  4. Step 4: Simplify right side
    194.39x = 41,664.95
  5. Step 5: Solve for x
    x = 41,664.95/194.39
  6. Step 6: Final answer
    x = 214.34

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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.