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Finding the Fourth Proportional to 184.16, 254.20 and 106.56

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Solution

The fourth proportional to 184.16, 254.20 and 106.56 is: 147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.16 : 254.20 = 106.56 : x
  2. Step 2: Convert to fraction form
    184.16/254.20 = 106.56/x
  3. Step 3: Cross multiply
    184.16x = 254.20 × 106.56
  4. Step 4: Simplify right side
    184.16x = 27,087.55
  5. Step 5: Solve for x
    x = 27,087.55/184.16
  6. Step 6: Final answer
    x = 147.09

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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.