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Finding the Fourth Proportional to 168.84, 252.33 and 123.30

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Solution

The fourth proportional to 168.84, 252.33 and 123.30 is: 184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.84 : 252.33 = 123.30 : x
  2. Step 2: Convert to fraction form
    168.84/252.33 = 123.30/x
  3. Step 3: Cross multiply
    168.84x = 252.33 × 123.30
  4. Step 4: Simplify right side
    168.84x = 31,112.29
  5. Step 5: Solve for x
    x = 31,112.29/168.84
  6. Step 6: Final answer
    x = 184.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.