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Finding the Fourth Proportional to 133.14, 200.87 and 128.59

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Solution

The fourth proportional to 133.14, 200.87 and 128.59 is: 194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.14 : 200.87 = 128.59 : x
  2. Step 2: Convert to fraction form
    133.14/200.87 = 128.59/x
  3. Step 3: Cross multiply
    133.14x = 200.87 × 128.59
  4. Step 4: Simplify right side
    133.14x = 25,829.87
  5. Step 5: Solve for x
    x = 25,829.87/133.14
  6. Step 6: Final answer
    x = 194.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.