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Finding the Fourth Proportional to 184.20, 254.19 and 106.57

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Solution

The fourth proportional to 184.20, 254.19 and 106.57 is: 147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.20 : 254.19 = 106.57 : x
  2. Step 2: Convert to fraction form
    184.20/254.19 = 106.57/x
  3. Step 3: Cross multiply
    184.20x = 254.19 × 106.57
  4. Step 4: Simplify right side
    184.20x = 27,089.03
  5. Step 5: Solve for x
    x = 27,089.03/184.20
  6. Step 6: Final answer
    x = 147.06

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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.