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Finding the Fourth Proportional to 193.61, 290.40 and 90.89

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Solution

The fourth proportional to 193.61, 290.40 and 90.89 is: 136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.61 : 290.40 = 90.89 : x
  2. Step 2: Convert to fraction form
    193.61/290.40 = 90.89/x
  3. Step 3: Cross multiply
    193.61x = 290.40 × 90.89
  4. Step 4: Simplify right side
    193.61x = 26,394.46
  5. Step 5: Solve for x
    x = 26,394.46/193.61
  6. Step 6: Final answer
    x = 136.33

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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.