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Finding the Fourth Proportional to 193.38, 289.83 and 171.66

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Solution

The fourth proportional to 193.38, 289.83 and 171.66 is: 257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.38 : 289.83 = 171.66 : x
  2. Step 2: Convert to fraction form
    193.38/289.83 = 171.66/x
  3. Step 3: Cross multiply
    193.38x = 289.83 × 171.66
  4. Step 4: Simplify right side
    193.38x = 49,752.22
  5. Step 5: Solve for x
    x = 49,752.22/193.38
  6. Step 6: Final answer
    x = 257.28

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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.