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Finding the Fourth Proportional to 134.80, 189.20 and 134.80

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Solution

The fourth proportional to 134.80, 189.20 and 134.80 is: 189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.80 : 189.20 = 134.80 : x
  2. Step 2: Convert to fraction form
    134.80/189.20 = 134.80/x
  3. Step 3: Cross multiply
    134.80x = 189.20 × 134.80
  4. Step 4: Simplify right side
    134.80x = 25,504.16
  5. Step 5: Solve for x
    x = 25,504.16/134.80
  6. Step 6: Final answer
    x = 189.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.