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Finding the Fourth Proportional to 184.73, 254.89 and 107.06

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Solution

The fourth proportional to 184.73, 254.89 and 107.06 is: 147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.73 : 254.89 = 107.06 : x
  2. Step 2: Convert to fraction form
    184.73/254.89 = 107.06/x
  3. Step 3: Cross multiply
    184.73x = 254.89 × 107.06
  4. Step 4: Simplify right side
    184.73x = 27,289.16
  5. Step 5: Solve for x
    x = 27,289.16/184.73
  6. Step 6: Final answer
    x = 147.72

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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.