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Finding the Fourth Proportional to 193.35, 289.42 and 144.31

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Solution

The fourth proportional to 193.35, 289.42 and 144.31 is: 216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.35 : 289.42 = 144.31 : x
  2. Step 2: Convert to fraction form
    193.35/289.42 = 144.31/x
  3. Step 3: Cross multiply
    193.35x = 289.42 × 144.31
  4. Step 4: Simplify right side
    193.35x = 41,765.12
  5. Step 5: Solve for x
    x = 41,765.12/193.35
  6. Step 6: Final answer
    x = 216.01

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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.