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Finding the Fourth Proportional to 133.80, 182.40 and 133.80

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Solution

The fourth proportional to 133.80, 182.40 and 133.80 is: 182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.80 : 182.40 = 133.80 : x
  2. Step 2: Convert to fraction form
    133.80/182.40 = 133.80/x
  3. Step 3: Cross multiply
    133.80x = 182.40 × 133.80
  4. Step 4: Simplify right side
    133.80x = 24,405.12
  5. Step 5: Solve for x
    x = 24,405.12/133.80
  6. Step 6: Final answer
    x = 182.40

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.