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Finding the Fourth Proportional to 184.94, 254.95 and 132.46

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Solution

The fourth proportional to 184.94, 254.95 and 132.46 is: 182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.94 : 254.95 = 132.46 : x
  2. Step 2: Convert to fraction form
    184.94/254.95 = 132.46/x
  3. Step 3: Cross multiply
    184.94x = 254.95 × 132.46
  4. Step 4: Simplify right side
    184.94x = 33,770.68
  5. Step 5: Solve for x
    x = 33,770.68/184.94
  6. Step 6: Final answer
    x = 182.60

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Why These Related Problems?

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