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Finding the Fourth Proportional to 194.33, 291.64 and 136.17

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Solution

The fourth proportional to 194.33, 291.64 and 136.17 is: 204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.33 : 291.64 = 136.17 : x
  2. Step 2: Convert to fraction form
    194.33/291.64 = 136.17/x
  3. Step 3: Cross multiply
    194.33x = 291.64 × 136.17
  4. Step 4: Simplify right side
    194.33x = 39,712.62
  5. Step 5: Solve for x
    x = 39,712.62/194.33
  6. Step 6: Final answer
    x = 204.36

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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.