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Finding the Fourth Proportional to 193.77, 289.97 and 142.29

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Solution

The fourth proportional to 193.77, 289.97 and 142.29 is: 212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.77 : 289.97 = 142.29 : x
  2. Step 2: Convert to fraction form
    193.77/289.97 = 142.29/x
  3. Step 3: Cross multiply
    193.77x = 289.97 × 142.29
  4. Step 4: Simplify right side
    193.77x = 41,259.12
  5. Step 5: Solve for x
    x = 41,259.12/193.77
  6. Step 6: Final answer
    x = 212.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.