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Finding the Fourth Proportional to 133.96, 200.84 and 116.88

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Solution

The fourth proportional to 133.96, 200.84 and 116.88 is: 175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.96 : 200.84 = 116.88 : x
  2. Step 2: Convert to fraction form
    133.96/200.84 = 116.88/x
  3. Step 3: Cross multiply
    133.96x = 200.84 × 116.88
  4. Step 4: Simplify right side
    133.96x = 23,474.18
  5. Step 5: Solve for x
    x = 23,474.18/133.96
  6. Step 6: Final answer
    x = 175.23

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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.