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Finding the Fourth Proportional to 194.05, 291.27 and 142.75

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Solution

The fourth proportional to 194.05, 291.27 and 142.75 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.05 : 291.27 = 142.75 : x
  2. Step 2: Convert to fraction form
    194.05/291.27 = 142.75/x
  3. Step 3: Cross multiply
    194.05x = 291.27 × 142.75
  4. Step 4: Simplify right side
    194.05x = 41,577.34
  5. Step 5: Solve for x
    x = 41,577.34/194.05
  6. Step 6: Final answer
    x = 214.27

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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.