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Finding the Fourth Proportional to 252.05, 347.68 and 168.02

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Solution

The fourth proportional to 252.05, 347.68 and 168.02 is: 231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.05 : 347.68 = 168.02 : x
  2. Step 2: Convert to fraction form
    252.05/347.68 = 168.02/x
  3. Step 3: Cross multiply
    252.05x = 347.68 × 168.02
  4. Step 4: Simplify right side
    252.05x = 58,415.67
  5. Step 5: Solve for x
    x = 58,415.67/252.05
  6. Step 6: Final answer
    x = 231.76

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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.