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Finding the Fourth Proportional to 184.74, 254.77 and 132.22

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Solution

The fourth proportional to 184.74, 254.77 and 132.22 is: 182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.74 : 254.77 = 132.22 : x
  2. Step 2: Convert to fraction form
    184.74/254.77 = 132.22/x
  3. Step 3: Cross multiply
    184.74x = 254.77 × 132.22
  4. Step 4: Simplify right side
    184.74x = 33,685.69
  5. Step 5: Solve for x
    x = 33,685.69/184.74
  6. Step 6: Final answer
    x = 182.34

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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.