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Finding the Fourth Proportional to 183.88, 275.79 and 107.00

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Solution

The fourth proportional to 183.88, 275.79 and 107.00 is: 160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.88 : 275.79 = 107.00 : x
  2. Step 2: Convert to fraction form
    183.88/275.79 = 107.00/x
  3. Step 3: Cross multiply
    183.88x = 275.79 × 107.00
  4. Step 4: Simplify right side
    183.88x = 29,508.87
  5. Step 5: Solve for x
    x = 29,508.87/183.88
  6. Step 6: Final answer
    x = 160.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.