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Finding the Fourth Proportional to 184.45, 254.57 and 106.82

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Solution

The fourth proportional to 184.45, 254.57 and 106.82 is: 147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.45 : 254.57 = 106.82 : x
  2. Step 2: Convert to fraction form
    184.45/254.57 = 106.82/x
  3. Step 3: Cross multiply
    184.45x = 254.57 × 106.82
  4. Step 4: Simplify right side
    184.45x = 27,192.63
  5. Step 5: Solve for x
    x = 27,192.63/184.45
  6. Step 6: Final answer
    x = 147.43

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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.