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Finding the Fourth Proportional to 193.81, 290.62 and 91.04

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Solution

The fourth proportional to 193.81, 290.62 and 91.04 is: 136.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.81 : 290.62 = 91.04 : x
  2. Step 2: Convert to fraction form
    193.81/290.62 = 91.04/x
  3. Step 3: Cross multiply
    193.81x = 290.62 × 91.04
  4. Step 4: Simplify right side
    193.81x = 26,458.04
  5. Step 5: Solve for x
    x = 26,458.04/193.81
  6. Step 6: Final answer
    x = 136.52

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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.