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Finding the Fourth Proportional to 194.58, 291.67 and 133.70

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Solution

The fourth proportional to 194.58, 291.67 and 133.70 is: 200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.58 : 291.67 = 133.70 : x
  2. Step 2: Convert to fraction form
    194.58/291.67 = 133.70/x
  3. Step 3: Cross multiply
    194.58x = 291.67 × 133.70
  4. Step 4: Simplify right side
    194.58x = 38,996.28
  5. Step 5: Solve for x
    x = 38,996.28/194.58
  6. Step 6: Final answer
    x = 200.41

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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.