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Finding the Fourth Proportional to 134.44, 184.16 and 133

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Solution

The fourth proportional to 134.44, 184.16 and 133 is: 182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.44 : 184.16 = 133 : x
  2. Step 2: Convert to fraction form
    134.44/184.16 = 133/x
  3. Step 3: Cross multiply
    134.44x = 184.16 × 133
  4. Step 4: Simplify right side
    134.44x = 24,493.28
  5. Step 5: Solve for x
    x = 24,493.28/134.44
  6. Step 6: Final answer
    x = 182.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.