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Finding the Fourth Proportional to 184.66, 254.57 and 132.05

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Solution

The fourth proportional to 184.66, 254.57 and 132.05 is: 182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.66 : 254.57 = 132.05 : x
  2. Step 2: Convert to fraction form
    184.66/254.57 = 132.05/x
  3. Step 3: Cross multiply
    184.66x = 254.57 × 132.05
  4. Step 4: Simplify right side
    184.66x = 33,615.94
  5. Step 5: Solve for x
    x = 33,615.94/184.66
  6. Step 6: Final answer
    x = 182.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.