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Finding the Fourth Proportional to 193.66, 290.97 and 170.62

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Solution

The fourth proportional to 193.66, 290.97 and 170.62 is: 256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.66 : 290.97 = 170.62 : x
  2. Step 2: Convert to fraction form
    193.66/290.97 = 170.62/x
  3. Step 3: Cross multiply
    193.66x = 290.97 × 170.62
  4. Step 4: Simplify right side
    193.66x = 49,645.30
  5. Step 5: Solve for x
    x = 49,645.30/193.66
  6. Step 6: Final answer
    x = 256.35

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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.