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Finding the Fourth Proportional to 193.21, 289.73 and 115.16

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Solution

The fourth proportional to 193.21, 289.73 and 115.16 is: 172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.21 : 289.73 = 115.16 : x
  2. Step 2: Convert to fraction form
    193.21/289.73 = 115.16/x
  3. Step 3: Cross multiply
    193.21x = 289.73 × 115.16
  4. Step 4: Simplify right side
    193.21x = 33,364.15
  5. Step 5: Solve for x
    x = 33,364.15/193.21
  6. Step 6: Final answer
    x = 172.69

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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.