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Finding the Fourth Proportional to 193.26, 264.85 and 174.81

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Solution

The fourth proportional to 193.26, 264.85 and 174.81 is: 239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.26 : 264.85 = 174.81 : x
  2. Step 2: Convert to fraction form
    193.26/264.85 = 174.81/x
  3. Step 3: Cross multiply
    193.26x = 264.85 × 174.81
  4. Step 4: Simplify right side
    193.26x = 46,297.99
  5. Step 5: Solve for x
    x = 46,297.99/193.26
  6. Step 6: Final answer
    x = 239.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.